Question

The height of cone is 0.15 m. If it's volume is 1570cm^3, find the radius of base ( take pie = 3.14)​

Answer 1

Step-by-step explanation:

We have, height of cone (h)=0.15m= 15cm

Volume of cone (V)=1570 cm³

Let r be the radius of the base.

$Volume \: of \: cone = \frac{1}{3} \pi {r}^{2} h \\ 1570 = \frac{1}{3 } \times 3.14 \times {r}^{2} \times 15 \\ \frac{1}{3 } \times 3.14 \times {r}^{2} \times 15 = 1570 \\ 3.14 \times 5 \times {r}^{2} = 1570 \\ {r}^{2} = \frac{1570}{3.14 \times 5} \\ {r}^{2} = \frac{314}{3.14} \\ {r}^{2} = 100 \\ r = 10cm$

Thus, the radius of the base is 10cm

Answer 2

H = 15cm. Volume = 1570 cm³

$\implies \: \frac{1}{3} \times 3.14 \times {r}^{2} \times 15 = 1570 \\ \\ \implies {r}^{2} = \frac{1570}{15.70} = 100 \\ \\ \\ \implies \: r = 10cm$