Question

The height of a cone is$15cm$ and its volume is$1570c{m}^3$. Find the diameter of the base. (Use$\pi =3.14$)

Answer 1

Finding the Diameter of the base of cone$\left(r\right)$

$Volumeofthecone=\frac{1}{3}\pi r²h$

According to question

$$\begin{gathered} \frac{1}{3}\pi r²h=1570cm³ \\ r²=\frac{(1570cm³\times 3)}{\pi hcm} \\ r²=\frac{(1570cm³\times 3)}{3.14\times 15cm} \\ r²=100cm² \\ r=\surd 100cm² \\ r=10cm \end{gathered}$$

Diameter of the base$=10\times 2=20cm$