The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
(a) 10: 17
(b) 20: 27
(c) 17: 27
(d) 20: 37
Solution:
Radii of two cylinder are in the ratio = 2 : 3
Let radius (r1) = 2x
and radius (r2) = 3x
Ratio in their height = 5 : 3
Let height of the first cylinder = 5y
and of second = 3y
Now, volume of the first cylinder
The total surface area of a cone whose radius is and slant height 2l is
(a) 2πr (l + r)
(b)
(c) πr(l + r)
(d) 2πrl
Solution:
Radius of a cone =
and slant height = 2l
total surface area of a cone
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