Question

The curved surface area of a right circular cone is 600cm^2 and itsheight is 30 cm. calculate its capacity

Answer 1

Hi!!!!


CSA=2πrh

600=2πr*30

600=60πr

r=35/11


volume of cylinder=πr²h

22/7*35/11*35/11*30= 10500/11cm²

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Answer 2

Answer:

The capacity is 1207.016 cm. cube.

Step-by-step explanation:

Given : The curved surface area of a right circular cone is 600 cm^2 and its height is 30 cm.

To find : Its capacity ?

Solution :

The formula of curved surface area of a right circular cone is

$CSA=\pi r l$

$CSA=\pi r \sqrt{h^2+r^2}$

We have given CSA = 600 cm sq. and h=30 cm

$600=\pi r \sqrt{30^2+r^2}$

$600=\pi r \sqrt{900+r^2}$

Squaring both side,

$360000=\pi^2 r^2(900+r^2)$

$360000=\pi^2 \times (900r^2+r^4)$

$r^4+900r^2=36475.62$

By solving the equation,

r=6.2

The volume of the cone is

$V=\frac{1}{3}\pi r^2 h$

Substitute the value in the formula,

$V=\frac{1}{3}\times 3.14\times (6.2)^2\times 30$

$V=\frac{1}{3}\times 3.14\times 38.44\times 30$

$V=1207.016$

Therefore, The capacity is 1207.016 cm. cube.