Question

The height of a cone is 15 cm. If its volume is 1570 cm3

, find the radius of the base.​

Answer 1

Answer:

radius of is 10 cm

Step-by-step explanation:

the formula of volume of cone is

volume = pie * (R)2 * H/3

Now put values

1570= 22/7 * r2 * 15/3            ( 15/ 3 = 5 )

1570/ 5 = 22/7 * r2

314 * 7/22 =r2

100 apx =r2               ( 99.90 = approx 100)

root 100 = r

10 = r

Answer 2

Answer:-

$↝\frac{1}{3} \times \rm \pi \times {r}^{2} \times h = 1570 \\ \\ ↝ \cancel\frac{1}{3} \times \rm 3.14 \times {r}^{2} \times \cancel{15} = 1570 \\ \\ ↝ 3.14\times {r}^{2} \times 5 = 1570 \\ \\↝ {r}^{2} = \frac{1570}{3.14 \times 5}\\ \\ ↝{r}^{2} = 100 \\ \\ ↝r = \sqrt{100} \\ \\↝ r = 10$

Hence, the radius of base is 10 cm.