Question

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

Answer 1

Solution

Given :-

• Volume of Cylinder = 750π cm³
• Height = 30 cm

Find :-

• Radius & Total Surface area of Cylinder

Explanation

Using Formula

★ Volume of cylinder = πr²h

★Total Surface area of cylinder = 2πr² + 2πrh

First Calculate Radius

➡ Volume of cylinder = πr² × 30

➡750π = πr² × 30

➡r² = 750/30

➡r² = 25

➡r = √25

➡r = 5 (Radius)

_______________________

Now, Calculate TSA of cylinder

➡ Total Surface area of cylinder = 2πr² + 2πrh

Keep all values

➡ Total Surface area of cylinder = 2π× 5² + 2π × 5 × 30

➡Total Surface area of cylinder = 50π + 300π

➡Total Surface area of cylinder = 350π cm³

Hence

• Radius of cylinder be = 5 cm
• Total Surface of cylinder = 350π cm³

_________________

Answer 2

Answer:

Step-by-step explanation:

Given :-

Volume of Cylinder = 750π cm³

Height = 30 cm

Find :-

Radius & Total Surface area of Cylinder

Explanation

Using Formula

★ Volume of cylinder = πr²h

★Total Surface area of cylinder = 2πr² + 2πrh

First Calculate Radius

➡ Volume of cylinder = πr² × 30

➡750π = πr² × 30

➡r² = 750/30

➡r² = 25

➡r = √25

➡r = 5 (Radius)

_______________________

Now, Calculate TSA of cylinder

➡ Total Surface area of cylinder = 2πr² + 2πrh

Keep all values

➡ Total Surface area of cylinder = 2π× 5² + 2π × 5 × 30

➡Total Surface area of cylinder = 50π + 300π

➡Total Surface area of cylinder = 350π cm³

Hence

Radius of cylinder be = 5 cm

Total Surface of cylinder = 350π cm³