Question

What is the relationship between the volume and surface area of the sphere shown?



V < SA
V = SA
V > SA

Answer 1

Answer:

V=SA

Step-by-step explanation:

Formula for volume of sphere is 4/3×π×r^3

Since,4/3×3.14×3^3

The value becomes 113.04cm^3

Formula for area of sphere is

4πr^2

since,4×3.14×3^2

The value becomes 113.04cm^2

Conclusion:::: area of sphere =volume of sphere ....

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Answer 2

Given:

Radius of a sphere =  3 units

To Find:

The relationship between the volume and the surface area

Formula:

$\text{Volume of a sphere } = \dfrac{4}{3} \pi r^3$

Solution:

Find the volume of the sphere:

$\text{Volume of a sphere } = \dfrac{4}{3} \pi r^3$

$\text{Volume of the sphere } = \dfrac{4}{3} \pi (3)^3$

$\text{Volume of the sphere } = 36 \pi \text{ unit}^3$

Find the surface area of the sphere:

$\text{Surface area of a sphere } = 4 \pi r^2$

$\text{Surface area of the sphere } = 4 \pi (3)^2$

$\text{Surface area of the sphere } =36 \pi \text{ unit}^2$

Conclusion:

$\text{Volume of the sphere } = 36 \pi \text{ unit}^3$

$\text{Surface area of the sphere } =36 \pi \text{ unit}^2$

⇒ The volume of the sphere is equal to the surface area of the sphere when the radius is equal to 3 units.

Answer: V = SA