Question

If the volume of right circular cone is 1570 cm3 and its height is 15 cm. What is the radius of the

cone ?

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Answer 1

Answer:

Radius is approximately 10cm

Step-by-step explanation:

V=πr2h

3

Solving for

r=3V

πh=3·1570

π·15≈9.99746cm

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Answer 2

Answer:

Given:-

• The height of cone is 15 cm.
• Its volume is 1570 cm³.

To Find:-

• Radius of it's base?

Solution:-

Volume of cone

$\dag { \boxed{ \underline{ \pink{⅓ \times \rm \pi \times {r}^{2} \times h}}}}$

Where,

• r = radius
• h = height

According to the question:-

$↝\frac{1}{3} \times \rm \pi \times {r}^{2} \times h = 1570 \\ \\ ↝ \cancel\frac{1}{3} \times \rm 3.14 \times {r}^{2} \times \cancel{15} = 1570 \\ \\ ↝ 3.14\times {r}^{2} \times 5 = 1570 \\ \\↝ {r}^{2} = \frac{1570}{3.14 \times 5} \\ \\↝ {r}^{2} = \cancel \frac {1570}{15.70} \\ \\ ↝{r}^{2} = 100 \\ \\ ↝r = \sqrt{100} \\ \\↝ \dag {\boxed {\blue{ r = 10}}}$

Hence, the radius of base is 10 cm.