Question

5. Find the total surface area of a cylinder whose base area is 49 cm and height 160 cm.​

Answer 1

Step-by-step explanation:

formula of total surface area of cylinder=2πr(h+r)

=2*22/7*28.5(160+28.5)

=8419.71

Answer 2

Given:

The cylinder whose a base area is 49 cm and a height of 160 cm.

To Find:

Find the total surface area of a cylinder

Solution:

We are given the base of the cylinder as 49cm^2 and we know, the area of the base is denoted by the area of the circle with radius r,

$\pi r^2=49\\r=\frac{7}{\sqrt{\pi } }$

Now as we have the radius(r) of the base of the cylinder and the height of the cylinder then the total surface area(TSA) can be found by using the formula,(Total surface area(TSA) is defined as the area of the bases combined with the lateral surface area(LSA) which is the circumference of the base times height of the cylinder)

$TSA=2\pi r^2+2\pi rh\\=2*49+2*\pi *\frac{7}{\sqrt{\pi } } *160\\=98+3970.4\\=4068.4cm^2$

Hence, the total surface area(TSA) of the cylinder is 4068.4cm^2.