Question

a spherical volume and surface area are equal. what is diameter​

Answer 1

Answer:

$diameter = 3 \times 2 = 6 \: \: \: units.$

Step-by-step explanation:

$volume = surface \: area \\ \\ \frac{4}{3} \pi {r}^{3} = 4\pi {r}^{2} \\ \\ r = 3 \\ \\ therefore \: \: \: diameter = 3 \times 2 = 6 \: \: \: units.$

Answer 2

Answer:

diameter= 6 units

Step-by-step explanation:

given. volume of sphere= (4/3)πr³

surface area of sphere= 4πr²

we have, volume of sphere = surface area of sphere

(4/3)πr³=4πr²

on cutting down the commons

(4/3)r=4

r= 3 units.

diameter = 2×radius

diameter= 2× 3

= 6 .