Question

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

Answer 1

Answer:

h = 15 cm

V = 1570 cm^2

V = 1 / 3  π r^2 h

1570 = 1 / 3 * 22 / 7 * r^2 * 15

r^2 = 1570 * 3 * 7 / 15 *22

r^2 =  157 * 7 / 11

r^2 = 99.90

r = 9.995

On rounding off we get,

r = 10 cm

Method 2

Taking π as 3.14 we get,

V = 1 / 3  π r^2 h

1570 = 1 / 3 * 3.14 * r^2 * 15

r^2 = 1570 * 3 * 100 / 314 * 15

r^2 = 100

r = 10 cm

Prefer method 2 if the value of π is to be taken as 3.14

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Answer 2

$\large\underline\pink{Given:-}$

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

$\large\underline\pink{To find:-}$

• Fine the radius of the base ....?

$\large\underline\pink{Solutions:-}$

• volume of a cone = 1570 cm²
• height of base = 15cm.

Volume = 1/3πr²h

1/3πr²h = 1570

πr²h = 1570 × 3

πr²h = 4710

πr² = 4710/15

πr² = 314

r² = 314/3.14

r² = 31400/314

r² = 100

r = √100

r = 10

Hence, the radius of the base is 14 cm.

$\large\underline\pink{More \: \: Important:-}$

• Right circular cone:-
• h = height of cone
• r = Radius of cone
• s = slant height

• Volume = 1/3πr²h
• Lateral surface area = πr √r²+h²
• Total surface area = πr² + πr √r²+h²