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A sphere with radius r and a cylinder with radius r and a height of r are shown below. How do the surface areas of these solid figures compare? Which statements are correct? Check all that apply. The surface area of the sphere in terms of r is 4πr2 square units. The surface area of the cylinder in terms of r is 4πr2 square units. The surface area of the cylinder in terms of r is 6πr2 square units. The surface area of the cylinder and sphere are the same. The surface area of the cylinder and sphere are not the same.

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sqdancefan

Answer:

  • The surface area of the sphere in terms of r is 4πr^2 square units.
  • The surface area of the cylinder in terms of r is 4πr^2 square units.
  • The surface area of the cylinder and sphere are the same.

Step-by-step explanation:

The surface area of the sphere is given by the formula ...

  A = 4πr^2

The surface area of the cylinder is given by the formula ...

  A = 2πr^2 +2πrh

Here, the height (h) is equal to r, so this simplifies to ...

  A = 2πr^2 +2πr·r = 4πr^2 . . . . . the same area as the sphere

adioabiola

The statements which are correct are;

  • The surface area of the sphere in terms of r is 4πr2 square units.
  • The surface area of the cylinder and sphere are not the same.

Solid shape measures;

The surface area of the sphere is; 4πr².

The surface area of the cylinder in terms of r is; 2πr² + 2πr² = 4πr²

The statements which are true are therefore as stated above.

Read more on solid shape measures;

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