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Q.

The cost of painting the total surface area of the cone 25 paise per cm square is Rs 176. The volume of the cone, if its slant height is 25cm is____.

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a

1235 cm2

b

1236 cm2

c

1237 cm2

d

1238 cm2 

answer is A.

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Detailed Solution

Let radius of cone be r cm
 Slant height be l cm
Height of the cone be h cm
 A/Q, , ( TSA )(0.25) = Rs 176
            TSA = 704 cm2
TSA = πr(l + r)
224 = r2 + 25r
r2 + 25r – 22420
r(r + 32) – 7(r + 320) = 0
(r + 32) (r – 7) = 0
r= –32, 7
= 24
= 1232
Hence the volume is 1235cm2
 
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