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The hight of a cone is15cm. If its volume is1570cm3,find its radius of the base?

Posted by Sanjai Pugal 5 years, 10 months ago

CBSE > Class 09 > Mathematics

3 answers

Radha Nain 5 years, 10 months ago

R=10

0Thank You

Account Deleted 5 years, 10 months ago

Height (h) =15 cm Volume (v) = 1570 cm^3 Volume = 1/3πr^2h 1570 =1/3*22/7*r^2*15 r^2= 1570*7*3/22*15*1 r^2= 100 r=√100 r= 10 cm

2Thank You

Yogita Ingle 5 years, 10 months ago

Given:

Height (h) = 15 cm
Volume = 1570 cm³

Let the radius of the base of cone be r cm

Volume of a cone=1/3 πr²h

Volume = 1570 cm³

1/3 πr²h = 1570

1/3×3.14×r² ×15 = 1570

r²= 1570/(3.14×5)

= 15700/157= 100

r²=100

r=√100=10
r = 10 cm

Hence, Radius of the base is 10 cm.

3Thank You

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