the area of the base of a right circular cylinder is 1386 cm square and its height is 14 cm find its volume
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Given:
Area of base of a right circular cylinder is 1386 cm²
Height of the cylinder is 14 cm.
Find:
Volume of the cylinder
Solutions:
Let the radius of the right circular cylinder be 'r' cm.
We know that,
The area of the base of a right circular cylinder = πr²
=> 1386 = 22/7 × r²
=> 1386 × 7 = 22 × r²
=> 9702 = 22 × r²
=> 9702/22 = r²
=> 441 = r²
=> √441 = r
=> 21 = r
=> r = 21cm.
Now,
The volume of the cylinder = πr²h
=> 22/7 × 21 × 21 × 14
=> 22 × 21 × 21 × 2
=> 44 × 441
=> 19404cm²
Hence, the volume of the right circular cylinder is 19404 cm³.
I hope it will help you.
Regards.
Answered by
1
the base of a right circular cylinder = πr²
1386 = πr²
r² = 1386× 1/π = 1386×7/22
= 9702 /22 = 441
r² = 441
r= 21cm
volume of cylinder = πr²h =
22/7×21²×14
= 44×21²
= 19,404cm³
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