Maths-
General
Easy
Question
Find the slant height of the right circular cone if the base diameter of the right circular cone is 14 cm and the height is 24 cm.
- 11 cm
- 13 cm
- 28 cm
- 25 cm
Hint:
Slant height L = ![square root of h squared plus r squared end root](data:image/png;base64,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)
where h is height
r is radius of base of cone
The correct answer is: 25 cm
We have given the dimensions of a right circular cone
Base diameter = 14 cm
Radius, r =
= 7 cm
Height, h = 24 cm![square root of 625](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC4AAAATCAYAAADvXT9EAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAdZJREFUeNrVlk8oREEcx1/bJmkTRZso0qZNDoqNDblok6NWyJEkJzk5UG6ODk6i3BzkXxJHaZNoQ04iOclhi5LYNv++o6+anpm3b5/d2verT7szv5nf+87M7zfvGYZ984GvPMK2DYADw4W2D0bcJroMPPHXVTYGtiz8IbAGnkES7IBOyd8G1ulPgQswpIiTlZyWTeR2VOMbpdA6tospKiaNOQSDLHBh9eCIfWbhWbMakACFCp8QEHcYtxpc5lL4FFjS+BYVu5aJJXMp/Bx0a3xXoMJh3DDT5d/CfYq+BvAAvBY7JnJ7E7yy8OKawpNNpN0Ji9YsPMUi3gOTGl0/FgArnNRu8s2BeQsBYs4Z6OHiPBRzDcY1c0rBNohYxBWxmsAMTzWoGjRN4eKePjX57kCzxQPEzlQq+hvBvaK/lqIDGWRChLeS1sQOfQI/263gxiJNDB6nR+NLmdpBFnlRFor4j4k8XeX/BTCbZrxYbL+iP8gc/jU/X1BeB6JFnd2mG7QM3viAhC63JCvgMQ5Lolp4P3dJ43ZtxDJY5GGeooe3mRDdm25iCfgAG+DY5o6UMwVewDsX0uHwVd7HwhZxHnlKIbtHE2PACbd9UIUovMqN397RfBf4DZyvjwbGqgy2AAAAWnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3FydD48bW4+NjI1PC9tbj48L21zcXJ0PjwvbWF0aD6AsxsvAAAAAElFTkSuQmCC)
Let us find the slant height
L = ![square root of h squared plus r squared end root](data:image/png;base64,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)
L = ![square root of 24 squared plus 7 squared end root](data:image/png;base64,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)
= ![square root of 576 plus 49 end root](data:image/png;base64,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)
= ![square root of 625](data:image/png;base64,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)
L = 25 cm
Therefore, the correct option is d) 25 cm.
Therefore, the correct option is d) 25 cm.
Related Questions to study
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![64 x squared y squared minus 144 z squared](data:image/png;base64,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)
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![64 x squared y squared minus 144 z squared](data:image/png;base64,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)
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Maths-General
Maths-
What is the factored form of ![4 x cubed plus 24 x squared plus 36 x space ?](data:image/png;base64,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)
What is the factored form of ![4 x cubed plus 24 x squared plus 36 x space ?](data:image/png;base64,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)
Maths-General
Maths-
If the area of 1 face is 81 how much is the surface area of the whole cube?
If the area of 1 face is 81 how much is the surface area of the whole cube?
Maths-General
Maths-
calculate the surface area of a cube with a side of 4 mm
calculate the surface area of a cube with a side of 4 mm
Maths-General
Maths-
Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________
Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________
Maths-General
Maths-
Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.
Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.
Maths-General
Maths-
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Maths-General
Maths-
Factor the polynomial as the product of binomials.
![x squared plus x plus 1 fourth](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAAjCAYAAAAHUl3/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAXtJREFUeNpjYBgF+IAaENcC8YXRoKAMLAbiNCD+PxoU1AGjATkakKMBORqQo4DOAfkfin8B8VEgVhkNSMoAExBnAfG50YCkDvgxGpCUA3sgPjgakJQBSWgZqTTMAxAdU70PugUamKOAgpS4DYj5hkB7bEDaf8lA3IFFvBkqBwOgQNSgg8eIdc+gbEiDmjLiSPxEIJ5CxXLjPw3cMygD0gOI+6BsFyDeO8BZjVL3DGjXbje0WQMazBSmQa1HamomxT2U2PefTIwTFEC7f3qDpPCnxD0DliKtgXgNNDtFDoKApNQ9AxKQoIb1JiDmAmIeID5DhaxNiceo4R66B6QotFmD7FAfBsicxUAEJLXcQ9eAZAPidUAsjUVuObTmHMnuGQVUBD4Mo6PkFANQ+XxtNCApBzOhXdLRgKSwObh3MPSShjIAVXqXgFh+NCApA6CRp5zB0m8fqgDUHT06mAZAhio4yYA5zTwakGT2wCgZsRoFg6nfPhqQo4D8gAQAZWiLBm6uBYUAAAChdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtaT54PC9taT48bW8+KzwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bW4+NDwvbW4+PC9tZnJhYz48L21hdGg+OKlH8AAAAABJRU5ErkJggg==)
Factor the polynomial as the product of binomials.
![x squared plus x plus 1 fourth](data:image/png;base64,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)
Maths-General
Maths-
Factor the given expression.
![x squared minus 64](data:image/png;base64,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)
Factor the given expression.
![x squared minus 64](data:image/png;base64,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)
Maths-General
Maths-
A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
__________
A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
__________
Maths-General
Maths-
Factor the polynomial as the product of binomials.
![p squared minus 49 over 100](data:image/png;base64,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)
Factor the polynomial as the product of binomials.
![p squared minus 49 over 100](data:image/png;base64,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)
Maths-General