The volume of a right circular cone is 4710cm³. If the radius is in 3:4,find it's slant height. Use pie=3.14.
Answer it fast plzz!
Make sure answer is 25cm. Pls do whole solution.
saxenayashi890:
Actually the ratio of radius and height is 3:4
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Let the radius and Height be 3a and 4a respectively...
Volume = 4710
=> pi *r^2 h / 3 = 4710
=> 3.14 * (3a)^2 *4a = 4710 * 3
=> 3.14 * 36 a^3 = 14130
=> a^3 = 14130 / 36 * 3.14
=> a^3 = 125
=> a = 5
Radius = 5 * 3 = 15 cm
Height = 5 * 4 = 20 cm
Slant Height = sqrt ( 15^2 + 20^2)
= sqrt ( 225 + 400)
= sqrt ( 625)
= 25 cm
Volume = 4710
=> pi *r^2 h / 3 = 4710
=> 3.14 * (3a)^2 *4a = 4710 * 3
=> 3.14 * 36 a^3 = 14130
=> a^3 = 14130 / 36 * 3.14
=> a^3 = 125
=> a = 5
Radius = 5 * 3 = 15 cm
Height = 5 * 4 = 20 cm
Slant Height = sqrt ( 15^2 + 20^2)
= sqrt ( 225 + 400)
= sqrt ( 625)
= 25 cm
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