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Question 47
A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?
Solution
Volume of pyramid=$$(1/3)b^2h$$
=$$(1/3)×14^2×22$$=4312/3 .
Volume of sphere$$=(4/3)π×r^3$$
So, $$(4/3)πr^3=4312/3$$
or, $$r^3=343$$
or, r=7 .
B is correct choice.
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