Question

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​

Answer 1

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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