Volume of a Hemisphere

Q. Question 3
The diameter of a sphere is decreased by $25\%$. By what percent does its curved surface area decrease?

Q. If the volume of a sphere is equal to the volume of the hemisphere, then the ratio of the radius of the sphere to the radius of the hemisphere is .

1. $1:\sqrt[3]{32}$
2. $2:\sqrt[3]{32}$
3. $1:\sqrt[3]{37}$
4. $1:\sqrt[3]{33}$

Q.

16 hemispheres of radius 2 cm are melted to make a single sphere. Find radius of the sphere.

1. 8 cm
2. 16 cm
3. 4 cm
4. 32 cm

Q.

What is the volume of water that can be filled in a hemispherical bowl of radius 10 cm? [1 MARK]

Q. If the volume of a sphere is equal to the volume of the hemisphere, then find the ratio of the radius of the sphere to the radius of the hemisphere.

1. $1:\sqrt[3]{32}$
2. $2:\sqrt[3]{32}$
3. $1:\sqrt[3]{37}$
4. $1:\sqrt[3]{33}$

Q. If the volume of a sphere is equal to the volume of the hemisphere, then find the ratio of the radius of the sphere to the radius of the hemisphere.

1. $2:\sqrt[3]{32}$
2. $1:\sqrt[3]{32}$
3. $1:\sqrt[3]{33}$
4. $1:\sqrt[3]{37}$

Q. If the volume of a sphere is equal to the volume of the hemisphere, the ratio of the radius of the sphere to the radius of the hemisphere is .

1. $1:\sqrt[3]{32}$
2. $1:\sqrt[3]{33}$
3. $2:\sqrt[3]{32}$

Q. What is the volume of the aluminium used to make a hemisphere of inner radius 7 cm and thickness 1 cm?
[$use\pi =\frac{22}{7}$]

1. $353.773c{m}^3$
2. $228.67c{m}^3$
3. $257.14c{m}^3$
4. $341.34c{m}^3$

Q. The volume of the aluminium used to make a hemisphere of inner radius 7 cm and thickness 1 cm is
[$use\pi =\frac{22}{7}$]

1. $257.14c{m}^3$
2. $353.773c{m}^3$
3. $341.34c{m}^3$

Q.

How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
$[Assume\pi =\frac{22}{7}]$

1. 0.307 litres

2. 0.903 litres

3. 0.303 litres

4. 0.363 litres

Q. If the volume of a sphere is equal to the volume of the hemisphere, then find the ratio of the radius of the sphere to the radius of the hemisphere.

1. $1:\sqrt[3]{33}$
2. $1:\sqrt[3]{32}$
3. $2:\sqrt[3]{32}$
4. $1:\sqrt[3]{37}$

Q. If the volume of a sphere is equal to the volume of the hemisphere, the ratio of the radius of the sphere to the radius of the hemisphere is .

1. $1:\sqrt[3]{32}$
2. $1:\sqrt[3]{33}$
3. $2:\sqrt[3]{32}$