Question

the surface area of a solid metallic sphere is 1256 cm2 . it is melted and recast into a solid right circular cone of radius 2.5 cm and height 8 cm. calculate the radius of the solid sphere and the number of cones recast

Answer 1

Let the radius of sphere be r. Given,
$4\pi \times {r}^{2} = 1256 \\ {r}^{2} = 99.9 \: (approximately \: 100) \\ r = 10$
Let the number of cones be n. Then,
$\frac{4}{3} \pi \times {(10)}^{3} = n \times \frac{1}{3} \pi \times {(2.5)}^{2} \times 8 \\ n = \frac{4 \times 10 \times 10 \times 10}{2.5 \times 2.5 \times 8} = 80$

Answer 2

Hope it helps u mate ✌️. ..