Volume of Hemisphere

Q. A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped small bottles, each of diameter 3 cm and height 4 cm. How many bottles are needed to empty the bowl?

1. 54
2. 27
3. 36
4. 18

Q.

A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

1. 10

2. 25

3. 20

4. 30

Q.

An ice cream vendor puts a hemispherical scoop of ice cream on a cone which has radius 7 cm and height 15 cm. Find the volume of ice cream put on the cone.

1. $733.33c{m}^3$

2. $718.66c{m}^3$

3. $702.05c{m}^3$

4. $700c{m}^3$

Q. What is the ratio of the total surface area of a sphere to that of a hemisphere cut out from the sphere?

1. 4:2
2. 4:3
3. 2:4
4. 3:4

Q.

The volume of hemisphere with total surface area 115.62 cm² is approximately (Take π= 22/7)

1. 25 cm³

2. 40 cm³

3. 60 cm³

4. 90 cm³

Q.

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

1. 0.303 litres

2. 0.903 litres

3. 0.363 litres

4. 0.307 litres

Q.

The volume of two hemispheres are in the ratio of 8:27. Find the ratio of their radii.

1. 3:2

2. 2:3

3. 1:3

4. 4:3

Q.

A jar containing $2695c{m}^3$ of juice is used to fill smaller hemispherical bowls having radius 3.5 cm. Find the number of bowls that can be filled.

1. 8

2. 10

3. 30

4. 15

Q.

The total surface area of a hemisphere whose radius is 5 cm is

1. 3LB

2. 4LB

3. 2LB

4. LB

Q.

If the volume of a hemisphere is four times its total surface area, what is its radius?

1. $21cm$

2. $12cm$

3. $9cm$

4. $18cm$