Find the radius of the base of a right circular cylinder whose curved surface area is 2/3 of the sum of the surface areas if two circular faces the height of the cylinder is given to be 15cm
Answers
Given,
The curved surface area of a right circular cylinder is 2/3 of the sum of the surface areas of two circular faces.
Height of the cylinder = 15 cm
To find,
The radius of the cylinder.
Solution,
We can simply solve this mathematical problem using the following process:
As per mensuration;
The curved surface area of a right circular cylinder = 2π×(radius)×(height)
The surface area of the circular faces = π(radius)^2
Now, according to the question;
The curved surface area of a right circular cylinder = 2/3 × sum of the surface areas of two circular faces
=> 2π×(radius)×(height) = 2/3 × 2 × π(radius)^2
=> height = 2/3 × (radius)
=> radius = 3/2 × (height) = 3/2×(15 cm)
=> radius = 22.5 cm
Hence, the radius of the right circular cylinder is equal to 22.5 cm.