Question

the volume of the cylinder is 750 pi cm cube and its height is 30 cm find radius and total surface area​

Answer 1

Answer:

πr^2*h= 750π

r^2*h=750

r^2= 750/30

r^2=25

r=5cm

TSA= 2πr(r+h)

= 2π*5(5+30)

=350π cm^2

Answer 2

The radius of cylinder is 5 cm and total surface area of cylinder is 1100 sq.cm.

Step-by-step explanation:

Height of cylinder = 30 cm

Let the radius of cylinder be r

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

Volume of cylinder =$\pi r^2 (30)$

We are given that the volume of the cylinder is 750 pi cm

So, $750 \pi = \pi r^2 (30)$

$750 = r^2 (30)$

$25=r^2$

5 = r

Total surface area of cylinder = $2 \pi rh + 2 \pi r^2 = 2 \times \frac{22}{7} \times 5 \times 30+ 2 \times \frac{22}{7} \times 5^2=1100 cm^2$

Hence The radius of cylinder is 5 cm and total surface area of cylinder is 1100 sq.cm.

#Learn more:

The volume of a cylinder is 448 /pi cm cube and height 7 cm. find its lateral surface area and total surface area.

https://brainly.in/question/263359