Question

if the number of square centimetrs in the surface area of a sphere is equal to the number of cubic cm in its volume.find the diameter of the sphere

Answer 1

The value of diameter will be equal to 6

Answer 2

surface area of sphere
$4\pi {r}^{2}$
volume of sphere
$\frac{4}{3} \pi {r}^{3}$
by give condition
$4\pi {r}^{2} = \frac{4}{3} \pi {r}^{3}$
$\frac{4\pi \times 3 }{4\pi} = \frac{ {r}^{3} }{ {r}^{2} }$
r=3
D=r×2=3×2=6cm
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