Question

. The sum of the radius and height of a cylinder is 48 cm and the total surface area of the
cylinder is 6336 cm². Find the height and volume of the cylinder.
​

Answer 1

Question:The sum of the radius and height of a cylinder is 48 cm and the total surface area of the

cylinder is 6336 cm². Find the height and volume of the cylinder.

Given:

• r+h=48cm
• Total surface area (T.S.A)=6336cm²

To find:

• Height
• Volume

Formulas:

• T.S.A of cylinder=2πr(r+h)
• Volume of cylinder=πr²h

Solution:

• Kindly go through the attachment.

Answer 2

Answer:

Step-by-step explanation:

Given r+h=37 cm

Total surface area of the solid cylinder = 2πr(r+h)=1628cm  

2

 

∴r=  

2×22×37

1628×7

​  

=7cm

∴ Height = (37-7) cn = 30 cm

and Circumference = 2πr=  

7

22

​  

×7=44cm

Volume of the cylinder = πr  

2

h=  

7

22

​  

×7×7×30=4620cm  

3