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Question

The surface area of cylindrical pipe, open at both ends is 628 sq.m. The difference between its radius and length is 15 m, the length being larger. If the pipe was closed at one end, the amount of water that it can hold is


A
500πcu.m
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B
525πcu.m
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C
550πcu.m
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D
None of these
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Solution

The correct option is A $$500 \pi cu.m$$
$$2\pi r h=628$$
$$rh=100$$ ........(1)
$$h-r=15$$ ...........(2)
By (1) & (2)
$$h=20$$
$$r=5$$
$$volume \equiv \pi (20)(25)$$
$$\equiv 500 \pi \ cu.m$$

Mathematics

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