This is the Important question of class 10 Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD.

In this question height of a cone and its volume is given , find the radius of the base.

This is the Question Number 09, Exercise 17.2 of M.L Aggarwal.

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# The height of a cone is 15 cm. If its volume is 1570 cm square , find the radius of the base. (Use pi = 3.14)

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Given height of a cone, h = 15 cmVolume of the cone = 1570 cm^{3}(1/3)r^{2}h = 1570(1/3)3.14 ×r^{2}×15 = 15705 ×3.14×r^{2}= 1570r^{2}= 1570/5×3.14 = 314/3.14 = 100r = 10Hence the radius of the cone is 10 cm.