Volume of a Sphere
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Q.
If the surface area of a sphere is 2826 cm2 then find its volume. (π=3.14)
Q. Question 4
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
Q.
The volume of the sphere is 90517 cm3. find its radius.
Q.
How many cylinder glasses of 3cm base radius and height 8cm can be refilled from a cylindrical vessel of base radius 15cm which is filled up to a height of 32 cm
Q. If the volume of a sphere is equal to the volume of a hemisphere then, what is the relationship between the radius of the sphere to the radius of the hemisphere?
[ Conside r1 as radius of sphere and r2 as radius of hemisphere ]
[ Conside r1 as radius of sphere and r2 as radius of hemisphere ]
- 2(r1)3=(r2)3
- 2(r1)3=4(r2)3
- 4(r1)3=(r2)3
- 2(r1)3=3(r2)3
Q.
A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of heights of cylinder to cone is 4:3, then the ratio of their volumes is
2:1
1:1
4:1
3:1
Q. Question 1
Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16cm×8cm×8cm. when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer. [use π=3.14]
Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16cm×8cm×8cm. when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer. [use π=3.14]
Q. Question 9 (i)
Twenty-seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find the
(i) radius r' of the new sphere.
Twenty-seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find the
(i) radius r' of the new sphere.
Q. Radii of two solid hemispheres are in the ratio 3:5. Find the ratio of their curved surface areas.
- C1C2 = 225
- None of these
- C1C2 = 95
- C1C2 = 925
Q. Question 10
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm.
How much medicine in mm3 is needed to fill this capsule?
[Assume π=227]
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm.
How much medicine in mm3 is needed to fill this capsule?
[Assume π=227]
Q. Find the volume of a sphere whose diameter is:
(i) 14 cm
(ii) 3.5 dm
(iii) 2.1 m
(i) 14 cm
(ii) 3.5 dm
(iii) 2.1 m