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3 years ago

What is the volume of a hemisphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

volume of the hemisphere ≈1577.5 cm³

Step-by-step explanation:

To find the formula for calculating the volume of a hemisphere, we will follow the steps below:

write the formula for calculating the volume of a hemisphere.

volume of a hemisphere = volume of a sphere ÷2

= $\frac{4}{3}$ πr³ ÷ 2

= $\frac{2}{3}$ πr³

WHERE r is the radius

from the question given, radius= 9.2 cm

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the equation

volume of a hemisphere = $\frac{2}{3}$ πr³

= $\frac{2}{3}$ × 3.14 ×9.2³

= $\frac{2}{3}$ × 3.14 ×753.571

≈1577.5 cm³ to the nearest tenth of cubic centimeter

volume of the hemisphere ≈1577.5 cm³

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