Height of cylinder is equal to the diameter of the cylinder. If d
| Height of cylinder is equal to the diameter of the cylinder. If diameter of the cylinder is a cm then find volume of cylinder.
A. a<sup style="">3</sup>π/4 cm<sup style="">3</sup>
B. a<sup style="">3</sup>π/2 cm<sup style="">3</sup>
C. a<sup style="">3</sup>π/8 cm<sup style="">3</sup>
D. a<sup style="">3</sup>π cm<sup style="">3</sup>
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
Given:
Diameter of the cylinder = a cm
Height of the cylinder = Diameter of the cylinder
Formula:
Volume of cylinder = πr2h
Calculation:
Radius of the cylinder = a/2 cm
Volume of the cylinder
⇒ π × (a/2)2 × a
⇒ π × [a2/4] × a
⇒ a3π/4 cm3