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Question
If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
Solution
Height (h) of cone = 9 cm
Let the radius of the cone be r.
Volume of cone = 48π cm3
⇒ `1/3pir^2h` = 48π cm3
⇒ `(1/3pir^2xx9)"cm"` = 48π cm3
⇒ r2 = 16 cm2
⇒ r = 4 cm
Diameter of base = 2r = (2 × 4) cm = 8 cm
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