Question

The numerical value of the area of ​​the entire surface of a sphere of radius 10 cm is what percent of the numerical value of its volume?​

Answer 1

Given :-

▪ A sphere of radius, r = 10 cm.

To Find :-

▪ What percent of numerical value of the area of the entire surface area of a sphere is its volume.

Solution :-

Let's find the area of the sphere,

we have,

• Radius, r = 10 cm

So,

⇒ Surface area = 4πr²

⇒ Surface area = 4π(10)²

⇒ Surface area = 400π cm²

Similarly, let's find the volume

⇒ Volume of Sphere = 4/3 πr³

⇒ Volume = 4/3 π(10)³

⇒ Volume = 4000π / 3 cm³

Now, Let's find the percentage,

⇒ Surface area / Volume × 100

⇒ 400π / (4000π/3) × 100

⇒ 3×400π / 4000π × 100

⇒ 3/10 × 100

⇒ 3 × 10

⇒ 30%

Hence, The numerical value of the area of the entire surface of a sphere is 30% of the numerical value of its volume.

Answer 2

correct ans is 30% Radius of the sphere = 10 cm. Percentage of the surface area of the sphere to its volume.

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