Question

if the volume of a sphere is numerically equal to its surface area then its diameter is

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Hence the answer is 6.

Step-by-step explanation:

$volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} \\ r = radius \: of \: sphere \\ surface \: area \: of \: sphere = 4\pi {r}^{2}$

$according \: to \: the \: question \\ \frac{4}{3} \pi {r}^{3} = 4\pi {r}^{2} \\ {r}^{3} = 3 {r}^{2} \\ r = 3$

$we \: knor \: that \: \\ diameter = 2 \times radius(r) \\ = 2 \times 3 \\ = 6$