Maths-
General
Easy
Question
A hemisphere , cylinder and a cone have equal base diameters and have the same height. Prove that their volumes are in the ratio 2:3:1
Hint:
Volume of cylinder ![equals pi r squared h](data:image/png;base64,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)
The correct answer is: 1:2:3
Explanation:
- We have given a hemisphere, a cylinder and a cone have equal base diameters and the same height.
- We have to prove that their volumes are in ration 2:3:1
Step 1 of 1:
Volume of cone will be ![1 third pi r squared h](data:image/png;base64,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)
Volume of hemisphere will be ![2 over 3 pi r cubed](data:image/png;base64,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)
Volume pf a cylinder is ![pi r squared h](data:image/png;base64,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)
It is given that the hemisphere, a cylinder and a cone have equal base diameters and the same height.
It means r = h
So,
The ratio will be
![1 third pi r squared h colon 2 over 3 pi r cubed colon pi r squared h](data:image/png;base64,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)
![1 third colon 2 over 3 colon 1](data:image/png;base64,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)
1:2:3
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Maths-
Find the area of square inscribed in a circle of radius 8 cm.
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)
Find the area of square inscribed in a circle of radius 8 cm.
![](data:image/png;base64,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)
Maths-General
Maths-
A hemisphere of radius 5 cm surmounted by a right circular cone of base radius 5 cm. Find the volume of the solid if the height of the cone is 7 cm. Give your answer correct to two places of decimal.
A hemisphere of radius 5 cm surmounted by a right circular cone of base radius 5 cm. Find the volume of the solid if the height of the cone is 7 cm. Give your answer correct to two places of decimal.
Maths-General
Maths-
Bloom’s category: Application
Level: Medium
Does the point P (2, -3) lie on the line -3x + y + 9= 0?
Bloom’s category: Application
Level: Medium
Does the point P (2, -3) lie on the line -3x + y + 9= 0?
Maths-General
Maths-
Find the area of triangle ABC
![](data:image/png;base64,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)
Find the area of triangle ABC
![](data:image/png;base64,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)
Maths-General
Maths-
An iron sphere of diameter 12 cm is dropped into a cylindrical can of diameter 24 cm containing water. Find the rise in the level of water when the sphere is completely immersed?
An iron sphere of diameter 12 cm is dropped into a cylindrical can of diameter 24 cm containing water. Find the rise in the level of water when the sphere is completely immersed?
Maths-General
Maths-
A Sphere and cube have the same surface. Show that the ratio of the volume of the sphere to that of the cube is ![square root of 6 colon square root of pi](data:image/png;base64,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)
A Sphere and cube have the same surface. Show that the ratio of the volume of the sphere to that of the cube is ![square root of 6 colon square root of pi](data:image/png;base64,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)
Maths-General
Maths-
Find the width of a 10 m long rectangular court if its boundary is 34 m.
Find the width of a 10 m long rectangular court if its boundary is 34 m.
Maths-General
Maths-
Bloom’s category: Application
Level: Medium
Name three points that are coplanar but not collinear.
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)
Bloom’s category: Application
Level: Medium
Name three points that are coplanar but not collinear.
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4ujQ313HXXYmwVwWnX/OPDSxnctwjtOAjZ2SJorWlvb2f8+PGsXr06JYIIZ8+eNeLqhubmZj7zmc8QDAYTSbgCofxoqZAywptv/Ce1te9x3yPf4JPTpiLb2xg5ahQRIRAq+W2bCvRYXO5vX/rbr1I2fBwRRxEKhhh79VgGlgzCliC1Arp2t3w+H7m5uR+r0peDaDTK3r17GThwoHENu8CNFMYDUYAGjQ04KN1Gw4mTCB1k+KgxRJwodiyKLSVSi6QeOJdK9EhcUmu0EChtcVXZcEqGDIv3aEKAbSXKKJTQyU9a/BCEEAwcODDZ1UhZLsy4EAIEMbS2kNJPbm6QqHOOxhP1TBgzFAuNFJJozEHrmHEL6emYS7gPNqCwLIUQGq0EMTSWFvFIYhq4WUop3n//ffr3728s1yURD2QJIQE/48ePIz9X8K8/+xHFBTnk+X3s2r2bCZMn07eoAIxr2FNxdTwWUyZ+NEIKfJAQX2odndkdQojLvgAzk9EINDZCa2La4eoJE5g7awY/+Ze1fPsf7sUfDBAIh/g/48bQVxYmMnmym8uQFZ8OUrqYTN5Gubdwvy1HayzLz1dvuYVpn/o0O3bvRdgWo8eNZUBxcTygldSapgYpuYfGlaK1tTXZVUgrvLQmIXEA6Q8xdPgwSocNR0uNFhKlE/mnRl3ZKy4pJX369Mn61bI9I56fo5FxIQGgkDKuJa2ceCBLCIy6UmAlcrKIxWLU19dn/T4PPePCJSXxMbfWDlo7xE2W+T5dstZyWZZlNgXtMW7WO7gLTOLzmRdGBs13CllsubTW1NfXe7sYGT4O4oIfA2SxuKSUDBo0yIy5DL1G1t5Z7uF3qZDjaMhMslZcUkoKCgrMmMvQa2StuLTWRCIRY7kMvUbWigswwQxDr5K14hJCkJuba9xCQ6+RteJys+LNJLKht8hacVmWRXFxsQnFG3qNrL2zTCje0NtkrbiklAwYMMCMuQy9RtaKS2vNyZMnzZjL0GtkrbjcJSdmib+ht8hacWmtaW5uNmMuQ6+RteKC+DZvBkNvkbXiEkLg8/nMmMvQa2StuIxbaOhtslZcQgiKiopMQMPQa2StuJRSnDp1yiTvGnqNrBWXlJJ+/fqZ9CdDr5G1d5ZSihMnThjLZeg1slZcUkqKioqM5TL0Gll7ZymlaGpqMtFCQ6+RteJy57lM4q6ht8hqcQkhzJjL0GtkrbgA2tvbjVto6DWyVlxCCAoKCkx+oaHXyFpxueu5IpFIsqtiyFCyVlzuSmS/35/sqhgylKwVl1KK48eP097enuyqGDKUrBWXEIJ+/fqZMZeh18hacWmtOXv2LLFYLNlVMWQoWSsugJycHGw7a8//M/QyWSsuKSWO45hJZEOvkbXiUkrR3t5ONBpNdlUMGUrWiktKSV5engloGHqNrBWX1poTJ06YULyh18hacQEUFxcTDAaTXQ1DhpK14tJa09DQQGtra7KrYshQslZcUkr69+9PKBRKdlUMGUpWT/KcPHkSrTXhcDjZVTFkIFlruQAKCgoIBALJroYhQ8lacWmtiUQiZhLZ0GtkrbiEECilzEpkQ6+RtWMurTV+v79TbqHWgAbRTZcT12FcjGZjG8OHkbXiAjh37lynxZIajZTwykvr+Omvfs255iacWASsAHctXsxff/bTGENnuFSy2i3s27cvOTk5HZ7VQJRXX63m3154Aa19DBk8lJKSEkKhEMooy9ADstZyuZPIxcXFHQSmAEUsFiUajfHNb9/HlE+OBTS2z4fWYLxBw6WSteICGDhw4AVzXAKQWMICNO9u345PRAnm5DB69GgC0sYdcxkMH0bWiksIwfHjx+nTp48nMIHlXgQEDz/8EAEfjLl6HL/4xc8I+k0GveHSyWpx9evX74LEXQ2o+FGuQvLN+77N1MkT8fn8BAJ+lFbYUiTKmUPzDB9M1ooLoKmp6YJTTuJjLiEF6BjTpk7j+ikTO1xNxOoNhksgq8Xl8/k6iUujESgcFc/aeOuPbyGdVqKOYmhZGSUlg+LDMoPhEsjaUDyAZVmdJoOVkoCP/PwCAL75jX/gps/exOdvvpmXKyuRJlRo6AFZbblaW1s777grJbGYZsGCO7n5725BoNFOBCX9lJWWorRGGn2lEK6LHm8UBQitEIkUGw1opeOdYhLaLWvFpbUmPz+/U0DDEiAsi4FDShk4pNQtidsyIhFFNCQfjQNYoNt56d9+wVvb6qn41r30y/Wz97/f4dlnfswX5s3m+j+biDzfhFeUrHYLT506xblz57x/i8T/3LO74j/S+92Qijj8/vV/5yc//Blt7e0IITmyfz9rfvB93t27D+lFd688WSsuIQQDBgwgLy/Py4zv7rEjPSnT3b8/6PU+iGRl8EvZuYORUnb6EUJ449eOZYQQSCm9a27wyLKsi173wmvuo23b3ezQdb6zExp8UlKQmwtAKBRGRRRKiPgNnqSOMWvdQiEEjY2NhMNhQqEQsVgMy7KIRqPYtk17ezuBQMB7XmuNUgrbtolEIgQCAa9MNBr1bgalFFJKotEoPp+vU1mfz4fjON6N5DgOgUCAtrY2r4zf7ycWiyGlRGuN1hrLsmhvbycUCtHS0kIoFCISiXjv6TgOtm3T1tZGMBj0yra1teHz+bzXk1ISi8Xw+Xy0tbURDodpaWnxPoNbL3dPR/f9z5w5Q35+vjdGdZfqSCmJRCJevcLhMK2trQQCAW/DVdu2iUajBINBmpubCYfD3nu3tbVhWZb3OoFAgObmZnJycrzH9vZ23njjDWKxGK2trWitPQErQCKwpaTpzGke+Mf7yc2xqd+9GyGtpO+mnLXiUkrR0tJCbm4utbW1nDp1ipKSEg4ePMioUaPYsWMHI0eO5Pjx4+Tk5CCEoKmpiYEDB3Lw4EFGjhzJvn37GDVqFAcPHmTAgAG0tLSglKKwsJC6ujqGDh3Knj17GD16NPv27aO0tJT33nsPv99PIBCgsbGR4cOHs3v3bsaOHcu7777LyJEjOXbsGIWFhQghOH36NCUlJezZs4err76ad999lzFjxlBbW0thYSFKKVpbW+nbty+HDx9m9OjR7Ny5k6uvvpoDBw5QXFzM2bNnsSyLUCjEyZMnKS0tZefOnUyYMIHt27czfPhwGhoayM3NRQhBc3Mzffr0oaWlhWAwyLZt2xg7dixHjhyhuLiY1tZWIpEI+fn5HDt2jBEjRrBr1y7Gjh3L3r17GTx4MGfPngUgFArR2NjYqcyuXbsYOnQoDQ0NhMNhAoEAJ0+eZPDgwezfv58xY8awZ88eRo0axc9//nPWrl3L2LFjmThxYidxuUhhEYm0s+2t/8IfUrQ0NAICrZPrygt9hXyN+vp6brzxRkaMGEFlZeWVeMuL0FoTi8XQWhONRjly5AilpaVYlkUkEsHv99PW1kZOTo5nTS7s0S+0XMFg0LMQF1q3YDDoWTD30XEc7+ZwHMe75vf7iUQinSyNW2e393ev2bbtWUC3+TpaJdeSulbULeOeAe2+jmVZOI7jlXXrpbWmubmZv/iLv6CwsJDHHnuMcDjs1UspBdDpPS587Pie3ZVx31MI4YnGtYi2bVNZWcmyZcsYPnw4P/jBD5gwYQJ+vz9eDhBocFq47+tL+NULVax/tYoB/Qr43csvMH32Ev75X9cy76t/g0jYuCtNVlkuIQQ+n49t27Zh2zajR49GCIFt217UMBAIeOWALg/Hc/fdcK91NSZwy7jXLnzsiPuc68Z0Vca9duFjV2Vcd7Er3NfuOKbpira2Nu/Gd29otwPpOPFu27bXAXR8vLBz6O7RLeMK0rLi7ty6detYuXIlI0eO5Omnn+aaa67pYswZT7SOKEWMKAOLi+nfN5/CokKiRBGOk9TYblaIy22UWCzG22+/TUlJCYWFhfh8Pq8XdjFRwYv5KAGejmV7Usa2bdavX8/jjz9OWVkZzz33HJMmTfLKdWwfDQhpU1DYh74D+nmT/L5QPn379ic/FPDGZckgK8Tluh+NjY3k5uZ2StjtnFtoSAauS3ihxVq9ejXXXHMN0EU76YQgheDOr9/DrAUV5OUEcGJRJt9wI//5xz9QUNSfSCxGwLaTIq+suLOEELz++utIKfnEJz7hHR9kSA2klPj9fiorK3niiScoKyvjySefZOrUqd1uIhSfzhdoISko6ktJySCkAK0VvnAeV5WWkhe0ETp5qdYZa7ncMPKpU6doampixIgR9OnTBynlRQm7huTgjrWklKxfv54VK1YwatQonn76aaZMmeLNn3WJl9EksCxfwkfUeOkYWiB8PmTSnMIMFhdAJBLh1KlTaK0pKysDzmdfGJKP6wpu3LiR5cuXU1pa6lmsjtHG7l8gbr3c3ztNFifyC5PZhWacuFz/PRKJ8MYbbzB+/Hjy8/ONoFIM1ypVVlayYsUKrrrqKn70ox95UcFM2E8y48SllPJyBkeMGEFubu5FS0sMycN1Bf1+v+cKDhkyhB/+8IdMnjw5o9z1zPkkCdra2qirqyMcDjNw4EBvYtKQGrjzZS+//DIrV66ktLSU5557jilTpqCUyqhAU0ZZrrq6Ourr6xk/fjy2bXdKKDUkF9ddDwaDrF27llWrVjFs2DCefvpprr32Wi95N5PaKmPEVV9fTyQSYejQoV4WQia5GOmOmx3/0ksveRPETz31FNdeey2QmYGmtLv73MFux0Fvc3MzBw4coG/fvvTt2zfjGindcT2I9evXs3z5ckaNGsWaNWu49tprMyZ40RVpZ7ncxnDdiJ07d2JZFlOnTsXn82VkD5jOuMJyx1hXXXUVa9as4Zprrsk4N/BC0k5cbmPEYjFOnDjBgAEDCAQCXSbYGpJLR2EtX76c4cOH8/3vf5/JkycD8cjuByUZpztp4xYqpTot0nODF4WFhebY1RTEnSCurKz0hPXMM88wderUi1YfZyppY7k6htTffPNN8vLymDhxYka7FemMG7xYsWIFZWVlPPvss57FypY2S3lxdRzsRqNRmpqaKCoqoqSkxFsPlC2NlQ644fbf/OY3XlTw+eefZ/Lkyd5i0ky3WC4pLa6OjaG15uDBg9i2zbBhwzLaV09XXHdv3bp1LF++nBEjRnRKwnXD8dlCyovLsixOnTrFzp07GTduHHl5eVnVQOmCa7FefPFFVq5cSVlZmTdB7K6ny7Z2S0n77DiOt0L4/fff59y5cwwZMoT8/Pysa6B0oOM81uOPP86wYcO8eSw4vxVbtpGSn9hxHG8zlN27d+P3+72NZMz4KrXomN3+6KOPUlpaylNPPcV1113nuYKZPp/VHSnjFnbcMsvv93P8+HGOHz/O+PHjvclhQ2rhCquqqooVK1ZQUlLC6tWrvcwLd9/CbCVlPrkbvNBa09TUxOnTpxk0aBC5iV1UDamDG8G1LIsNGzawYsUKhg0b5oXbs2EO61JImW/A7QVbWlr405/+RElJCUVFRcmulqELhBCEQiGqqqpYuXIlJSUlPPPMM0yZMiXZVUspkm65Om6SuWfPHnJycpg0aZLJukhB3OwYy7J48cUXWbVqFcOHD2f16tVMmzbNa0fjwsdJqrhcv9zdthkgGAySl5eXzGoZPgC/38+6detYtWoVQ4YMYc2aNZ7FMknTnUm6W+j3+2lsbGTv3r0MGzaMgoKCjF2CkM64O++uW7eOxx9/nKFDh7J69WpvMxnTZheTNHG5DbJnzx58Ph9Tp07F7/d7K4gNqYO7HZ0bvCgtLWX16tVcf/31nptoAhgXk7RvpKWlhYaGBlpbW71NZMD466lGx2UjK1asYOjQoaxZs4Zp06YB56dQTLtdzBUdc3WcTNy7dy/RaJRJkyZ5y0lMA6UGHdtBSsmGDRv43ve+R2lpKc8++yxTpkwxbuAlcEXFJYQgGo3y3nvveZvIGFIT97zod955h7feeothw4Z5uzQZF/DSuKJ3t2VZbN++nVWrVnnpTKYHTE3a2tpoaGjgzJkzTJw40ZvHcif6TY7nh3NFxRUIBGhoaGDlypXGBUxx3IyZSfyyXvkAAAPPSURBVJMmsWbNGqZOnQp88Nlfhs5csZMlW1tb+f3vf8/p06c7nTxoSG1GjhzJ+PHjjbX6CHx8cWkNaDSJozcR8X+5brmSgAahcBwjqHRDWhZaKTQaW1ggNFrEDxSJ/0LnAxAMHpfBLVSgFVpIYk4Mvy9w/uQJAAmxiIMWEXw+k9KULrjdoNIapEQIDY4CFO453kJLzveihgu5DOKSiaNcNLaUbK3eTNXmGs61txKJtjNt8vXcesstBEISrRXCNEYaoeOHdQuBRIKlQcc9EyAuOEO3XLaAhhAgLHj9tRr++Z//iTETJ+PzQ/9+g9EifjA0ST3+2dATtFIoHcOSGkHAfRKEhQVEHAcLhWWZdu2Ojy8uTzgK0DiRNgYU9ucHP/4po8oGIS0b2/KhVAwzrZUeaA1aaSxLE4228PKGF9m0aQun3jvJkLLh3Pz5L3HjjTfED3DESKs7LsPtrjs8KnyWoLW1hRf+368ZNCifcWPH8qkb/gdCWqYh0gQBWFLSdOY9HnxoKf/yy3VM+uRkBgwawLZ3trF9xz5u+NS1SNvEMj6Ijy0ujRM/fxYLRBQhNK2tLfzm12sJ+GPcdst0/vxTN6JQWG50yZD6SM1rm1/h+8/+gm/dv4xF8+8gLzeXaFuEvUeO4lgWmljczJk27ZKPb7k6jWkFMaUo6NOfJ773T4waNpCCnHxwYkipwPJhWiINEBp0lD+++V8MHFDG7DmzqK3bzU9/+EssIRkzYRLDPzEmEY83dMfHFld8Xuu8YNodh5iGIcNKGTFiCDga5cQQQhkXIm3QoDXnmprJzSkgNzeHQ/vP0NhQx+9/95/kb/0PvnL79ESgytAdlyEuLhBaoBAorcnJL6D/wGJsAVo7IDTStsAyIfi0QUsQPkqHDmbf/u28/fZ/c8N1n+HZ55/hhqlTaGuNxYUlpRl0fQCXJ0NDx2OFSrfR2nyW5nOavD5FBPwKS/hQWGipsBCdJ5gNqYkGcNj57u+45bY5NLUE+Oa9d9O/yM/K5as41SJ5a8c7hCwHv5CI5C9oT0kuc26hSjzKRGRQxScd3Y1LLt8bGXoVDcRQToy33nmLp556lu3bdxCJRMjLL+B/fu5v+PZ930Ki8UmBNNarS65Y4q4hnYhPq0D8XLSmc2d5//3TRB0I5+RRkJ+Hzxc/bNBvZeduupeCEZehCzRuGDi+jN999nxWvKMVQidWlyehhumAEZehG7q6Lbp6TmAc/q4xCUmGbuhKMKqL54ywusOIy9ADOkYF3WQ2I67uMOIy9ADRze+GrjATFAZDL2HEZTD0Ev8f545UQi6YEJcAAAAASUVORK5CYII=)
Maths-General
Maths-
Find the length of a rectangle whose area is 258 m2 and width is 6 m.
Find the length of a rectangle whose area is 258 m2 and width is 6 m.
Maths-General