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Question 42
The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 $$cm^2$$, then what is the volume (in $$cm^3$$) of cylinder?
Solution
The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1
$$2\pi r h/2 \pi r^{2}$$=2/1
h/r=2/1
h=2r
Total surface area of the cylinder=$$2\pi r(r+h)$$
=2*(22/7)*r*(3r)
$$132r^{2}/7 $$=23100
$$r^{2}$$=23100*7/132
r=35 cm
Volume of the cylinder=$$\pi r^{2}h$$
=(22/7)*35*35*2*35
=269500
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