Question

Find the volume of the cone shown, if r=8 cm and AC=AB=17 cm

a.1226.04 cm

b. 3617.28 cm

c.1005.3 cm

d. 376.8 cm

Answer 1

1005.3 cm³

Explanation:

The radius of the cone (r) is 8 cm and the slant height is AC = AB = 17 cm.

Therefore, the height of the cone (h) will be given by
`\sqrt{17^(2) - 8^(2)} = √(225) = 15` cm.

We have to calculate the volume of the cone.

Therefore, the volume of the cone will be given by
`(1)/(3)\pi r^(2)h`

=
`(1)/(3) * (22)/(7) * 8^(2)* 15`

= 1005.3 cm³ (Answer)