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Volume of solid geometry

Question 1:

The diagram below shows a cone with diameter 14 cm and height 6 cm.Find the volume of the cone, in cm3.

300 cm3

308 cm3

318 cm3

208 cm3

Question 2:

In the pyramid shown, the base is a rectangle.

If the volume is 20 cm2, find the height of the pyramid, in cm.

3cm

8cm

6cm

4cm

Question 3:

The cross section of the prism shown is an isosceles triangle.

The volume of the prism, in cm3, is

700 cm3

678 cm3

768 cm3

608 cm3

Question 4:

Diagram above shows a composite solid consisting of a right circular cone, a right circular cylinder and a hemisphere.

The volume of the cylinder is 1650 cm3. Calculate the height, in cm, of the cone.

[Use π=22/7]

15cm

14cm

18cm

13cm

Question 5:

A right circular cone has a volume of 77 cm3 and a circular base of radius 3.5 cm. Calculate its height

5cm

6cm

3cm

6cm

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