A cylinder has a volume of 42cm2 and a height of 5cm.Calculate the radius of this cylinder
V=πr2h
42 = 3.14 * 5 * r
42 = 15.7r
42/15.7 = r
2.675 = r
Grasias
To calculate the radius of a cylinder, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
- Volume is the given volume of the cylinder (42 cm^2 in this case)
- π is a constant, approximately equal to 3.14
- r is the radius of the cylinder (unknown)
- h is the height of the cylinder (5 cm in this case)
Rearranging the formula, we can solve for the radius (r):
r^2 = Volume / (π * h)
r^2 = 42 cm^2 / (3.14 * 5 cm)
r^2 ≈ 8.48038 cm^2
Taking the square root of both sides:
r ≈ √8.48038 cm^2
Therefore, the radius of the cylinder is approximately 2.91 cm (rounded to two decimal places).