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The slant side of a cone is 15cmlong and the radius of the base is...

The slant side of a cone is 15cmlong and the radius of the base is 7cm calculate the volume
of the cone?

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Answers (2)

l^2=r^2+h^2
h^2=l^2-r^2
h^2=(15*15)-(7*7)
h=√225-49
h=√176
h=13.27cm
Volume is given as 1/3pie r^2h
= 1x22x7x7x13.27/3x7
= 14305.06/21
= 681.193333cm^3
isaaq
1 month ago
Solution :
The given values
base radius r = 15 cm
height h = 7 cm

Step by step calculation
formula to find area = πr[r + √(r2 + h2)]
substitute the values
= π x 15 x [15 + √(152 + 72)]
= 1487.49 cm2

formula to find volume = (1/3) π r2 h
substitute the values
= (1/3) x π x 152 x 7
= 1650 cm3
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