Question 61

The volume of a sphere is 36 $$\pi$$ cm$$^3$$ . What is the radius of the sphere?

Solution

volume of a sphere is 36 $$\pi$$ cm$$^3$$

volume of a sphere = 36 $$\pi$$

$$\frac{4}{3}\times\ \pi\ \times\ \left(radius\right)^3\ =\ 36\pi$$

$$\frac{1}{3}\times\ \left(radius\right)^3\ =\ 9$$

$$\left(radius\right)^3\ =\ 9\times\ 3$$

$$\left(radius\right)^3\ =\ 3^3$$

radius of the sphere = 3 cm


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