Question

8. In the cone below A is 3 cm. C is double length of A. What is the

total volume of the cone?
F. 18 cm
G. 36 cm
H. 57 cm
1. 85 cm
VOLUME

Answer 1

The volume of the cone is 57 cm³.

Solution:

Given data:

A = Radius of the cone (r) = 3 cm

C = Height of the cone (h)

= Double length of A

= 2 × 3 cm

C = 6 cm

The value of π = 3.14

Volume of the cone:

`$V=(1)/(3) \pi r^2 h`

`$V=(1)/(3) \pi A^2 C`

`$V=(1)/(3) * 3.14 * 3^2 * 6`

`$V=56.52` cm³

Round to the whole number, we get

V = 57 cm³

The volume of the cone is 57 cm³.