Question

The total surface area of a cylinder is 2728 cm. Find the volume of the cylinder if the radius of its base is 7 cm.​

Answer 1

Answer:

Answer is = volume=8470cm³

Answer 2

Answer:

The total surface area of a cylinder is 2728 cm. The volume of the cylinder is 8470 cu. cm if the radius of its base is 7 cm.​

Step-by-step explanation:

Given: The radius of the cylinder = 7cm

The total surface area of the cylinder is 2728 sq. cm.

Find the volume of the cylinder

Step 1: Total surface area of cylinder =2π ×r (r+h)

2728=2π ×r (r+h)

2728=2×22/7×7 (7+h)

2728=2×22 (7+h)

2728=44 (7+h)

2728/44=(7+h)

7 + h= 62

h = 62 - 7

h = 55cm

Step 2: Find volume of cylinder

Volume of a cylinder

[tex]= \pi r^2 h\\ = \frac{22}{7} \times 7^2 \times 55\\ = \frac{22}{7} \times49 \times 55\\ = 22 \times 7 \times 55\\ = 8470 cunbic cm[/tex]

So, the volume of a cylinder is 8470 cu. cm.