Question

1. Find volume and Total surface are a of a cylinder radius 6cm height 14cm?​

Answer 1

Answer:

Volume = 1584$cm^{2}$  and  Total surface Area = 754.08$cm^{2}$

Step-by-step explanation:

According to the information provided in the question it is given as

Radius= r = 6 cm

Height=h= 14 cm

We need to find the volume and  total surface area of a cylinder

Now apply formula we get the answer

Volume of cylinder = $\pi r^{2} h$

[tex]V = \frac{22}{7} \times 6\times 6\times 14\\ V = 22\times 36\times 2\\ V =1584cm^{2} [/tex]

Now finding the total surface area

T S A =[tex]2\pi r(h+r)\\ =2\times \frac{22}{7} \times 6 ( 14+ 6)\\ = 2\times \frac{22}{7} \times 6\times 20\\ = 2\times 3.142\times 120\\ = 754.08cm^{2} [/tex]

Hence  volume = 1584$cm^{2}$  and total surface area = 754.08$cm^{2}$

Answer 2

Given:

We have radius =6cm and height=14cm.

To Find:

Volume and Total surface area of cylinder?

Step-by-step explanation:

• We know total surface area of cylinder is given by the formula

            $T.S.A=2\pi rh+\pi r^2$

• We have Radius = 6 cm

                   Height=14cm

            [tex]T.S.A=2\times\frac{22}{7} \times6\times14+\frac{22}{7} \times36\\ T.S.A=\frac{22}{7} (168+36)\\ T.S.A=\frac{22}{7} \times204=641.14[/tex]

• Volume of cylinder is given by the formula

                [tex]Volume=\pi r^2h=\frac{22}{7} \times14(6)^2\\ =36\times44\\ =1584[/tex]

Thus, volume of cylinder is 1584 and T.S.A is 641.14