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Question

A water tank can hold 2π m3 of water. If the radius of the tank is 1 m, then:

A
height of the tank is 1 m
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B
height of the tank is 2 m
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C
curved surface area of the tank is 6π m2
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D
curved surface area of the tank is 4π m2
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Solution

The correct option is D curved surface area of the tank is 4π m2
Given, volume of the water tank =2π m3 and radius of the tank(r)=1 m

Step 1: Let the height of the tank can be h

Volume of the tank =πr2h
2π=πr2h (given)
2π=π×(1)2×h
2π=πh
Divide both sides by π
2ππ=πhπ
2=h
h=2

Step 2: The curved surface area of the cylinder
=2πrh
=2π×1×2
=2π×2
=4π m2
Options (b.) and (d.) are correct choices.

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