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Circumference of the base of a right circular cylinder is 44cm and its height is 15cm. The volume (in cm3) of the cylinder is
Question



Circumference of the base of a right circular cylinder is 44cm and its height is 15cm. The volume (in cm3) of the cylinder is

A.

770

B.

1155

C.

1540

D.

2310

Correct option is D

First, find the radius of the cylinder.
We know that the circumference (C) of a circle is given by the formula:
C = 2πr
where r is the radius.
Given that the circumference is 44 cm and π = 22/7, we can substitute these values into the formula:
44 = 2 x (22/7) x r
Solving for r:
r = (44 x 7) / (2 x 22) = 7 cm
Now, find the volume of the cylinder.
The volume (V) of a cylinder is given by the formula:
V = πr²h
where r is the radius and h is the height.
Substituting the values we found:  
V = (22/7) x 7² x 15
V = (22/7) x 49 x 15
V = 22 x 7 x 15 V = 2310 cm³
Therefore, the volume of the cylinder is 2310 cm³.

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