Without calculating determine which solid has the greater volume. Explain your reasoning.

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Solution

Step 1: Out of cube and sphere.. cube has a greater volume
Step 2: Reason
Length of side of a cube is double of the length of radius of sphere.

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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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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.

A B

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Without calculating determine which solid has the greater volume. Explain your reasoning.

Step 1: Out of cube and sphere.. cube has a greater volumeStep 2: ReasonLength of side of a cube is double of the length of radius of sphere.

Step 1: Out of cube and sphere.. cube has a greater volume
Step 2: Reason
Length of side of a cube is double of the length of radius of sphere.