Question

if the side of a cubical watermelon is equal to the diameter of a spherical watermelon and they are to be stacked in boxes then which one would occupy more space than the other

Answer 1

Given:

The side of a cubical watermelon is equal to the diameter of a spherical watermelon and they are to be stacked in boxes.

To find:

if the side of a cubical watermelon is equal to the diameter of a spherical watermelon and they are to be stacked in boxes then which one would occupy more space than the other

Solution:

From given, we have,

The side of a cubical watermelon is equal to the diameter of a spherical watermelon.

The volume of a cube = a³

The volume of a sphere = 4/3 πr²

Let us consider the radius of the sphere is "x"

Then, we get

The volume of a cube = (2x)³ = 8x³

The volume of a sphere = 4/3 πx²

let us take, x = 2 cm

Then, we have,

The volume of a cube = 8x³ = 8×2³ = 64

The volume of a sphere = 4/3 πx² = 4/3 × 3.14 × 2² = 16.74

Thus the cubical watermelon would occupy more space than the other

Answer 2

From given, we have,

The side of a cubical watermelon is equal to the diameter of a spherical watermelon.

The volume of a cube = a³

The volume of a sphere = 4/3 πr²

Let us consider the radius of the sphere is "x"

Then, we get

The volume of a cube = (2x)³ = 8x³

The volume of a sphere = 4/3 πx²

let us take, x = 2 cm

Then, we have,

The volume of a cube = 8x³ = 8×2³ = 64

The volume of a sphere = 4/3 πx² = 4/3 × 3.14 × 2² = 16.74

Thus the cubical watermelon would occupy more space than the other