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ankit Chaudhary

· started a discussion

· 1 Months ago

wrong option (Question: 185282.0 )

its frustrating..please solve this issues...

Question:
From a solid cylinder of height 15 cm and radius of the base 8 cm a cone of same height and same base is removed. The volume of the remaining solid is –
Options:
A) 240\(\pi\) cm3
B) 5280\(\pi\) cm3
C) 640\(\pi\) cm3
D) 360\(\pi\) cm3
Solution:

Required volume = volume of cylinder - volume of cone


= pi r^2 h - 1/3 pi r^2 h


= 2/3 pi r^2 h


Now, put r=8 and h=15


so, required volume =  2/3 pi 8^2 15 = pi * 64 *10 = 640pi cm^3

Knowledge Expert

· commented

· 1 Months ago

Given option is correct, please simplify it properly.

See sol:

Required volume = volume of cylinder - volume of cone

= pi r^2 h - 1/3 pi r^2 h

= 2/3 pi r^2 h

Now, put r=8 and h=15

so, required volume = 2/3 pi 8^2 15 = pi * 64 *10 = 640pi cm^3
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