The volume of a cylinder is 28 pai cm3 and height is 7 cm find the radius of base
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Subject:
Math -
Author:
claudiamolina -
Created:
1 year ago
Answers 2
Answer:
volume of cylinder=28pai cm^3
pai×r^2×h=28paicm^2
cut the pai both side
r^2×7=28cm^3
r^2=28/7
r^2=4
r=root over4
r=2cm
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Author:
daffyrios
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Rate an answer:
2
Given:
The volume of a cylinder = 28[tex]\pi[/tex][tex]cm^{3}[/tex]
Height of the cylinder = 7cm
To find:
The radius of the base of the cylinder
Solution:
We can simply solve this type of mensuration problem by using the following process
Now,
The volume of the Cylinder = 28[tex]\pi[/tex][tex]cm^{3}[/tex]
Height of the cylinder = 7cm
The Radius of the Base =?
As we all know, the formula for the volume of a cylinder is = [tex]\pi r^{2} h[/tex] , (where r represents the Radius of the cylinder and h represents the height of the cylinder)
Now, if we assume the radius is r, we get the following mathematical expression:
[tex]\pi r^{2} 7 = 28\pi[/tex]
[tex]r^{2} = \frac{28\pi}{7\pi}[/tex]
[tex]r^{2} = 4[/tex]
[tex]r = \sqrt{4}[/tex]
[tex]r = 2[/tex] [tex]cm[/tex]
(This will be considered as the final answer of this question)
Hence, the radius of the cylinder is 2 cm.
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Author:
dillonrhodes
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Rate an answer:
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