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A fruit bowl is shaped like half of a sphere. The radius of the bowl is 1515 cm. What is the volume of the sphere?

User Bjornars
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2 Answers

6 votes

Answer:

2250pi.

Step-by-step explanation: i just did it on khan

User Traveh
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3 votes

Answer:

For 1515 cm radius, volume = 2318177250π cm³

For 15cm radius , the volume = 2250π cm³

Explanation:

A bowl that is shaped like half of a sphere is an hemisphere. An hemisphere is half of a sphere. This means that the volume of the bowl which is an hemisphere is half of the volume of a sphere.

Volume of a sphere = 4/3 × π × r³

where r = radius and π = 22/7

volume of the bowl(hemisphere) = 1/2 × 4/3 × π × r³

volume of the fruit bowl = 2/3 × π × r³

r = 1515 cm

volume of the fruit bowl = 2/3 × π × (1515)³

volume of the fruit bowl = 2/3 × π × 3477265875

volume of the fruit bowl = 6954531750π/3 = 2318177250π cm³

OR

volume of the fruit bowl = 2318177250 × 22/7 = 7285699928.57 cm³

But the radius 1515 cm is unreasonable for a fruit bowl . I believe you want to write 15 cm and made duplicate of it. The volume can be computed as follow if you use 15 cm.

volume of the fruit bowl = 2/3 × π × r³

volume of the fruit bowl = 2/3 × π × (15)³

volume of the fruit bowl = 2/3 × π × 3375

volume of the fruit bowl = 6750π/3

volume of the fruit bowl = 2250π cm³ or 7071.42857143 cm³

User Intrepidis
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