Calculate the diameter of height 7cm and diameter 7cm.What will be the change in the volume of the cylinder if the diameter is doubled and the height is halved?

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Solution

Volume of cylinder = πr²h
r=7/2=3.5
Volume = 22/7×3.5×3.5×7
= 22×12.25
= 269.5cm

Since the volume is proportional to r²h, if diameter is doubled and height is halved than its volume is double

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Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?

Q. Question 2
The diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area.

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Calculate the diameter of height 7cm and diameter 7cm.What will be the change in the volume of the cylinder if the diameter is doubled and the height is halved?

Volume of cylinder = πr²h r=7/2=3.5 Volume = 22/7×3.5×3.5×7 = 22×12.25 = 269.5cm Since the volume is proportional to r²h, if diameter is doubled and height is halved than its volume is double

Volume of cylinder = πr²h
r=7/2=3.5
Volume = 22/7×3.5×3.5×7
= 22×12.25
= 269.5cm

Since the volume is proportional to r²h, if diameter is doubled and height is halved than its volume is double