Question #71894

A rounded cup of tea has an opening shaped like a sphere. That radius is 5cm. What is the volume?

Expert's answer

Answer on Question #71894 – Math – Geometry

Question

1. A rounded cup of tea has an opening shaped like a sphere. That radius is 5 cm. What is the volume?

Solution


The formula for the volume of a sphere is


V=43πR3V = \frac{4}{3} \pi R^3


Substitute the value of radius R=5R = 5 cm:


V=433.1453=433.14125=523.33 cm3V = \frac{4}{3} \cdot 3.14 \cdot 5^3 = \frac{4}{3} \cdot 3.14 \cdot 125 = 523.33 \text{ cm}^3


Answer: The volume of the cup is equal to 523.33 cm3523.33 \text{ cm}^3.

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