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A cylindrical tub of radius 12cm …

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A cylindrical tub of radius 12cm contains water to the depth of 20cm. A spherical ball is dropped into the tub raising the level of water by 6.75cm.What is the radius of ball?

Posted by Sadhna Kashyap 8 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Naveen Sharma 8 years, 10 months ago

Ans. Radius of Cylinderical Tub = 12 cm

Raised Height of Water in cylindrical tub = 6.75 cm

Suppose Radius of sphereical Ball = r

Then volume of raised water in tub = volume of ball

=> \(\pi\times (12)^2 \times 6.75 = {{4 \over 3} \times \pi\times r^3 }\)

=> \(4 \times r^3 = {3 \times 144 \times 6.75}\)

=> \(r^3 = {2916\over 4}\)

=> \(r^3 = 729\)

=> r = 9

Radius of Spherical Ball = 9 cm

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