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What is the diameter of a hemisphere with a volume of 4960\text{ m}^3,4960 m 3 , to the nearest tenth of a meter?

User Oberon
by
4.8k points

2 Answers

1 vote

Answer:

26.7 is the right answer.

Explanation:

User Mister Why
by
4.3k points
3 votes

Answer:

26.6 m

Explanation:

The formula for the volume of an hemisphere is given as:

The volume of a hemisphere = (2/3)πr³ cubic units.

Volume = 4960m³

Hence,

4960 = 2/3πr³

4960 = 2 × πr³/3

Cross Multiply

4960 × 3 = 2πr³

Divide both sides by 2π

4960 × 3/2π = 2 πr³/2π

r³ = 2368.2255532

We would cube root both sides.

cube root(r³) = cube root(2368.2255532)

r = 13.329310588 m

Approximately = 13.3m

The formula for diameter = 2 × r

Diameter of the hemisphere = 2 × 13.33m

= 26.6 m

User Jared Hanson
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5.1k points