Question

A model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of the cone in the model to the nearest tenth. Use 3.14 for π.

Answer 1

Explicação passo-a-passo:

O volume de um cone é dado por:

$\sf V=\dfrac{\pi\cdot r^2\cdot h}{3}$

Temos:

• $\sf \pi=3,14$

• $\sf 2r=48~\Rightarrow~r=\dfrac{48}{2}~\Rightarrow~r=24~cm$

• $\sf h=12~cm$

Assim:

$\sf V=\dfrac{\pi\cdot r^2\cdot h}{3}$

$\sf V=\dfrac{3,14\cdot24^2\cdot12}{3}$

$\sf V=\dfrac{3,14\cdot576\cdot12}{3}$

$\sf V=\dfrac{21703,68}{3}$

$\sf \red{V=7234,6~cm^3}$