Volume of a cone

Geometry Level 2

A conical vessel in the form of right circular cone is 1 meter diameter at the top and 60 cm high holds rice at a height of 36 cm from the bottom. Find the volume of rice in cubic centimeters rounded to the nearest integer.


The answer is 33929.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Relevant wiki: Volume of a Cone

Applying ratio and proportion, we have

R 36 = 50 60 \frac{R}{36}=\frac{50}{60} ⟹ \implies R = 30 c m R=30~cm

Finally,

V = 1 3 A b h = 1 3 ( π ) ( 3 0 2 ) ( 36 ) = 33929 c m 3 V=\frac{1}{3}A_bh=\frac{1}{3}(\pi)(30^2)(36)=33929~cm^3

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