Question

A cylinder has a hieght of 70 cm and a
volume of o.1 m^3. Calculate the radius
of the cylinder, giving your answer in cm.​

Answer 1

Step-by-step explanation:

Given:-

A cylinder has a hieght of 70 cm and a

volume of o.1 m^3.

To find:-

Calculate the radius of the cylinder, giving your answer in cm ?

Solution:-

Height of the cylinder = 70 cm

h = 70 cm

We know that 1 m = 100 cm

=>100 cm = 1 m

=>1 cm = 1/100 m

=>70 cm = 70/100 m

=>70 cm = 0.70 m

Height = 0.7 m

Volume of the Cylinder = 0.1 m^3

Volume of a cylinder = πr^2h cubic units

=> πr^2h = 0.1

=>(22/7)×r^2×(0.7)=0.1

=>22×r^2×0.1 = 0.1

=>r^2×22 = 1

=>r^2 = 1/22

=>r^2 = 0.045 (approximately)

=>r=√0.045

=>r =0.21 m (approximately)

=>r = 0.21×100 cm

=>r = 21 cm

Answer:-

The radius of the given cylinder is 21 cm (approximately)

Used formula:-

• 1 m = 100 cm
• Volume of a cylinder = πr^2h cubic units
• where r is the radius and h is the height of the Cylinder