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A girl wishes to prepare birthday caps in the form of right circular cones for her birthday party, using a sheet of paper whose area is 5720 cm2, how many caps can be made with radius 5 cm and height 12 cm?

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answer is D.

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Detailed Solution

Given R = 5 cm, h = 12 cm and area= 5720 cm2 We have to calculate nos of caps
Numbers of caps = area of paper / area of one cap
= 5720 = 5720

(∵ l=√h2+r2)
𝜋𝑟2ℎ
= 5720

22
( 7 ×5×5×√144 + 25)
= 5720 = 5720×7

22×5×5×13
7

1430
7

= 28
1430
Hence, 28 caps can be made.

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