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The radius and height of a cone are in the ratio 3:4. If its volume is $301.44 cm 3$ , then what is its radius?

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2 cm

4 cm

6 cm

8 cm

answer is C.

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Detailed Solution

Given- radius and height of a cone are in the ratio 3:4.
Volume =

301.44 cm 3

.
Let the radius of the cone be 3x and height of the cone be 4x.

Volume of the cone = 13 π r 2 h 301.44 = 13227 (3 x) 2 (4 x) 301.44 = 792 x 3 21 x 3 = 21 × 301.44 792 x 3 = 8 x = 2 c m

Thus, the radius is

3 (2) = 6 cm

.
Therefore the radius is 6cm.
Hence, option 3 is the correct option.

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