Question

the total surface area of a cylinder is 6512 cm square and the circumference of its base is 88 cm. Find its radius and its volume

Answer 1

Answer:

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Answer 2

Given

• Total surface area of cylinder = 6512 cm²
• Circumference of base = 88 cm

To find

• Radius
• Volume

Solution

Here the circumference base means the circumference of circle,

• 2πr = 88
• 2×22/7×r = 88
• 44/7×r = 88
• r = 88×7/44
• r = 14

Hence, the radius of the cylinder is 14 cm

Now, we have total surface area , radius , we need volume , and to find volume we need height , so let's find out height.

• 2πr(r+h) = 6512
• 2×22/7×14(14+h)=6512  
• 616/7 (14+h)=6512  
• 14+h=(6512×7)/616
• h=74-14
• h=60

Hence, the height of the cylinder is 60 cm

Now, let's find out volume.

• πr²h = 22/7×14×14×60
• Volume = 22×2×14×60
• Volume = 36960

Hence, the volume of the cylinder is 36960 cm³

Learn more

• Lateral surface area of cylinder = 2πrh