Question

A solid metal cone with radius of base 12cm and height 24cm is melted to form solid spherical ball of diameter 6cm each find the number of ball formed also find the area of each spherical ball

Answer 1

volume of cone = no. of Sphere × volume of Sphere

$\pi {r}^{2} \frac{h}{3} = x \times \frac{4}{3} \pi {r}^{3} \\ {r}^{2} h = x \times 4 {r}^{3} \\ {6}^{2} \times 24 = x \times 4 \times {3}^{3} \\ x = \frac{6 \times 6 \times 24}{4 \times 3 \times 3 \times 3} \\ x = \frac{24}{3} \\ x = 8 \\ number \: of \: spheres \: is \: 8 \\ surface \: area \: of \: sphere \: is \: 4\pi {r}^{2} \\ 4 \times \frac{22}{7} \times 3 \times 3 \\ = 113.14</p><p></p><p>$