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What is the diameter of a hemisphere with a volume of 896\text{ m}^3,896 m

3
, to the nearest tenth of a meter?

User Patches
by
8.5k points

2 Answers

4 votes

Radius (r) = ?

Diameter (d) = ?

Volume of hemisphere = 2/3 × πr³

→ 896m³ = 2/3 × πr³

→ r³ = 896 × 3/2π

→ r = ³√427.8

→ r = 7.5

Now,

Diameter (d) = 2r

→ 2 × 7.5

→ 15m is the required answer.

User Thomallen
by
8.3k points
2 votes

diameter=15m

Answer:

Solution given:

diameter [d]=?

Volume of hemisphere=2/3*πr³

896m³=2/3*πr³

r³=896*3/2π

r=
\sqrt[3]{427.8}=7.5

diameter=2r=2*7.5=15m

User Pradheep
by
8.1k points

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