Question

The area of the base of a right cylinder is 140 cm2. What is the total area of the cylinder it it is 24 cm high.

Answer 1

Cylinder

We are given that, The area of the base of a right cylinder is 140 cm² and The height is 24 cm.

It is known that, Total surface area of a right circular cylinder is = Curved surface area + Area of top and bottom circular regions.

Now, Let's move on finding the solution for our question.

Given :

• Base = 140 cm²
• Height = 24 cm²

The Base Diameter is given as 140 cm², and we need to convert it into radius. So 140/2 = 70 cm.

• Radius = 70 cm

(Refer the attachment for the figure)

We know that, Formula of TSA of cylinder,

${\boxed{\bullet{\:2πr(h\:+\:r)}}}$

Substituting given values in Formula, we get,

$\implies\sf{2πr(h\:+\:r)}$

$\implies\sf{2\:\times\:{\dfrac{22}{7}}\:\times\:70\:\times\:(24\:+\:70)}$

$\implies\sf{2\:\times\:{\dfrac{22}{{\cancel{7}}}}\:\times\:{\cancel{70}}\:\times\:(24\:+\:70)}$

$\implies\sf{2\:\times\:22\:\times\:10\:\times\:94}$

$\implies\sf{440\:\times\:94}$

$\implies\sf{41,360}$

Hence, The total surface area of a right circular cylinder is 41,360 cm².