Answer :
Answer:
sorry it's late but the answer should be 20 meters cubed
Step-by-step explanation:
Volume of the sphere will be 20 meters cubed.
How to calculate volume of the sphere?
The volume of the sphere can be calculated by 4/3 times of the cube of the radius of the sphere.
V=(4/3)πr³
where r is the radius of the sphere.
How to calculate volume of the cylinder?
The volume of the cylinder can be calculated by the product of area of the base and height of the cylinder.
V=πr²h
where h is the height of the cylinder and r is radius of the base of the cylinder.
volume of the cylinder is = 30 m³
⇒πr²h=30 m³
According to the question,
radius of the base of the cylinder=radius of the sphere=r
height of the cylinder=height of the sphere=h
as we know height of the sphere=diameter=2r
then,
h=2r
putting this equation in volume of the cylinder expression
πr²h=30
⇒πr²(2r)=30
⇒2πr³=30
⇒πr³=30/2=15
Volume of the sphere= V=(4/3)πr³=(4/3)*15=20 meters cubed
Therefore, Volume of the sphere will be 20 meters cubed.
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