Question

Volume of a right circular cone is 956cm^3.if the diameter of base is 28 cm. Find (a) height of cone (b) slant height (c) curved surface area

Answer 1

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Given :

Volume= 9856cm^3

diameter = 28cm

radius = 14cm

h=?

I) Volume of cone = $\frac{1}{3} \pi {r}^{2} h$

= 9856 = $\frac{1}{3} \times \frac{22}{7} \times 14 \times 14 \times h$

= 9856×3 = 308×h

= $\frac{9856 \times 3}{308} = h$

h= 48cm

ii) l= $\sqrt{ {h}^{2} } + \sqrt{ {r}^{2} }$

= $\sqrt{ {48}^{2} } + \sqrt{ {14}^{2} }$

= $\sqrt{2304 + 196}$

= l= 50cm

iii) Curved surface area = πrl

= 22/7 × 14× 50

= 44×50

= 2200cm^2