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Compare the volume and surface area of a sphere with a radius of 7 cm with that of a cube that has sides measuring 11.27 cm.


1. The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.


2. The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area.


3. The volume of the cube is greater than the volume of the sphere, but the sphere has a greater surface area.


4. The sphere and the cube have approximately the same volume and surface area.

Respuesta :

Answer:

2. The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area.

Step-by-step explanation:

Sphere

Radius =7cm

[tex]\text{Volume of a Sphere}=\frac{4}{3}\pi r^3\\=\frac{4}{3}\pi *7^3\\=1436.76\approx 1400cm^3[/tex]

Surface Area of a Sphere [tex]=4\pi r^2[/tex]

[tex]=4\pi *7^2 = 615.75cm^2[/tex]

Cube

Side Length=11.27cm

[tex]\text{Surface Area=}6l^2=6*11.27^2=762.08cm^2\\\text{Volume = }l^3=11.27^3=1431.44\approx 1400cm^3[/tex]

Therefore:

The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area.

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