the diameter of the base of a right circular cone is 314 cm² and its height is 15 cm. Find the volume of the cone
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Answer:
Ginven,area of the base of right circular cone
= 314 cm^2
since, we know that base of right circular cone is circular . so then
area of the base = area of circle = πr^2
Find the radius:
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πr^2 = 314 cm^2
r^2 = 314 × ( 7 / 22 )
r^2 = 2198 ÷ 22 = 99.9 = 100 cm
r = √100 = 10 cm
radius of right circular cone = 10cm
given , height of the cone = 15 cm
Find the volume:
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volume of the cone = (πr^2h / 3)
= (π × ( 10 )^2 × 15 ) / 3
= (22/ 7 ) × ( 100 × 5 )
=( 22× 500 ) ÷ 7 = 11000 ÷ 7
= 1571.4 cm^3
therefore, volume of the right circular cone = 1571.4 cm^3
Answer: volume = 1571.4 cm^3
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