Question

The height of a cone is 15 cm .If its volume is 1570cm, find the radius of the base​

Answer 1

$\textbf{\huge{Hallo! }}$

Given:

Volume of a cone= 1570 cm³

Height of a cone = 15 cm

Radius of the base = ❓

Let the radius of base of the cone be r cm

Formula to find the volume of the cone is

$\frac{1}{3}$π$r^2$h

By substituting the given values in the formula, we get...

$\frac{1}{3}$π$r^2$h. = 1570

$\frac{1}{3}$ × 3.14 × $r^2$×15 = 1570

$\frac{1}{3}$ × 3.14 ×15 × $r^2$ = 1570

15.7 × $r^2$= 1570

$r^2$ = $\frac{1570}{15.7}$

$r^2$= 100

r = √100

r = ${\boxed{\boxed{10cm}}}$

•°• Radius of the base of the cone is 10 cm

Answer 2

Answer :-

We know that,

Height of cone (h) = 15cm

Volume of cone (v) = 1570cm

Radius of base (r) = ?

Formula

Volume of cone

$= \frac{1}{3} \pi {r}^{2} h$

Now, Substitute the values of Height and volume...

$1570 = \frac{1}{3} \times 3.14 \times 15 \times {r}^{2}$

${r}^{2} = \frac{1570 \times 3}{3.14 \times 15}$

${r}^{2} = 100$

$r = 10cm$

$\bold{Radius\:of\:base\:of\:cone=10cm}$