Question

The volume of a right circular cone is 9856 cm³ . If the diameter of the base is 28 cm, find 

(i) height of the cone 

(ii) slant height of the cone 

(iii) curved surface area of the cone.

Answer 1

Volume of Cone, V = 9856 cm³ 

diameter of the base, d = 28 cm. 

(i) h = ?, 

(ii) I = ?, 

(iii) C.S.A. = ? 

(i) V = 9856 cm³ . 

d = 28 cm. 

∴ r = \(\frac{28}{2}\) = 14 cm. 

Volume of cone,

l = 50 cm. 

(iii) Curved surface area of the cone, A 

A = πrl

= \(\frac{22}{7}\) x 14 x 50

= 22 × 100 A

= 2200 cm² .

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