Maths-
General
Easy
Question
A hemisphere of 5 cm radius surmounted by a right circular cone of 5 cm base radius. Find the volume of the solid correct to two places of decimals if the height of the cone is 7 cm.
Hint:
Volume of hemisphere
Volume of cone
The correct answer is: 445.05
Explanation:
- We have given a hemisphere of radius 5cm surmounted by a right circular cone of base radius 5cm.
- We have to find the volume of the solid if the height of the cone is
Step 1 of 1:
The radius of a hemisphere is 5cm
So, The volume of hemisphere will be
Volume of cone will be
Now the volume of solid will be equal to sum of volume of hemisphere and volume of the cone.
So,
= 445.05
Volume of cone will be
Now the volume of solid will be equal to sum of volume of hemisphere and volume of the cone.
So,
Related Questions to study
Maths-
An inverted conical vessel of 6 cm radius and 8 cm height is completely filled with water. A Sphere is lowered into the water and its size is such that when it touches the sides , it is just immersed. What fraction of water overflows ?
An inverted conical vessel of 6 cm radius and 8 cm height is completely filled with water. A Sphere is lowered into the water and its size is such that when it touches the sides , it is just immersed. What fraction of water overflows ?
Maths-General
Maths-
A rectangle field is 34 m long and 15 m broad. Find the cost of
(a) ploughing the field at Rs 6 per square metre.
(b) fencing it at R s 9.50 per metre.
A rectangle field is 34 m long and 15 m broad. Find the cost of
(a) ploughing the field at Rs 6 per square metre.
(b) fencing it at R s 9.50 per metre.
Maths-General
Maths-
What is the least number of solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm?
What is the least number of solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm?
Maths-General
Maths-
A Hollow sphere of internal and external diameters of 6 cm and 10 cm respectively is melted into a cone of 8 cm base diameter . Find the height of the cone ?
A Hollow sphere of internal and external diameters of 6 cm and 10 cm respectively is melted into a cone of 8 cm base diameter . Find the height of the cone ?
Maths-General
Maths-
Find the area of a rectangle whose length is 10 m and breadth is 6 m.
Find the area of a rectangle whose length is 10 m and breadth is 6 m.
Maths-General
Maths-
The perimeter of a rectangular plot is 180 m and its area is 1800 sq.metre. Take the length of the plot as x m. Use the perimeter to write the value of the breadth in terms of x. Use the value of length , breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
The perimeter of a rectangular plot is 180 m and its area is 1800 sq.metre. Take the length of the plot as x m. Use the perimeter to write the value of the breadth in terms of x. Use the value of length , breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
Maths-General
Maths-
Find the area and perimeter of a rectangle whose l = 70mand b = 50m.
Find the area and perimeter of a rectangle whose l = 70mand b = 50m.
Maths-General
Maths-
A Conical tent is to accommodate 77 persons. Each person must have 16 cubic metre of air to breathe. Given the radius of the tent as 7 m. Find the height of the tent and also its C.S.A?
A Conical tent is to accommodate 77 persons. Each person must have 16 cubic metre of air to breathe. Given the radius of the tent as 7 m. Find the height of the tent and also its C.S.A?
Maths-General
Maths-
Find the breadth of a rectangle whose area is 144 m2 and length is 16 m. Also find its perimeter.
Find the breadth of a rectangle whose area is 144 m2 and length is 16 m. Also find its perimeter.
Maths-General
Maths-
The radius of the base of a circular cone Is halved. Keeping the height same , What is the ratio of the volume of the reduced cone to that of the original cone ?
The radius of the base of a circular cone Is halved. Keeping the height same , What is the ratio of the volume of the reduced cone to that of the original cone ?
Maths-General
Maths-
If the length and breadth of a rectangle are 18 m and 12 m, then its area is ______.
If the length and breadth of a rectangle are 18 m and 12 m, then its area is ______.
Maths-General
Maths-
A child travels 13 m to cross a rectangular field diagonally. If the length of the field is 5 m, find its area.
A child travels 13 m to cross a rectangular field diagonally. If the length of the field is 5 m, find its area.
Maths-General
Maths-
If the length and breadth of a room are increased by 1m and area is increased by 21 sq.metre.If the length is increased by 1m and breadth is decreased by 1 m , then the area is decreased by 5 sq.mt. Find the perimeter and area of the room ?
If the length and breadth of a room are increased by 1m and area is increased by 21 sq.metre.If the length is increased by 1m and breadth is decreased by 1 m , then the area is decreased by 5 sq.mt. Find the perimeter and area of the room ?
Maths-General
Maths-
A Right angled triangle having perpendicular sides of 12 cm and 5 cm is rotated about its hypotenuse. For the solid thus generated , find the volume of the solid (Double cone)?
A Right angled triangle having perpendicular sides of 12 cm and 5 cm is rotated about its hypotenuse. For the solid thus generated , find the volume of the solid (Double cone)?
Maths-General
Maths-
The perimeter of a square piece of land is 64 m. Find the cost of laying a lawn on the land at the cost of Rs 5 per sq. m.
The perimeter of a square piece of land is 64 m. Find the cost of laying a lawn on the land at the cost of Rs 5 per sq. m.
Maths-General