Middle School

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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

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

Answer :

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:

[tex]$V=\frac{1}{3} \pi r^2 h[/tex]

[tex]$V=\frac{1}{3} \pi A^2 C[/tex]

[tex]$V=\frac{1}{3} \times 3.14 \times 3^2 \times 6[/tex]

[tex]$V=56.52[/tex] cm³

Round to the whole number, we get

V = 57 cm³

The volume of the cone is 57 cm³.

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