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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 cm G. 36 cm H. 57 cm 1. 85 cm VOLUME class=

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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