Verified answer

Answer:

8 bricks can be made using the given spherical ball of clay.

Step-by-step explanation:

• A spherical ball of clay with radius 2 inches has exact amount of clay to make a brick.

To Find:

• No. of bricks that can be made from a spherical clay ball of radius 4 inches.

Formula used:

• Volume of sphere = 4/3πR^3

where,

R is radius of the sphere.

Solution:

Let the volume of sphere with radius of 2 inches be V1.

Using the formula, we get

V1 = 4/3π(2)^3

V1 = 4(8)π/3

V1 = 32π/3 cubic inches....(1)

Let the volume of spherical ball with radius 4 inches be V2.

V2 = 4/3π(4)^3

V2 = 4(64)π/3

V2 = 256π/3 cubic inches....(2)

Since Spherical ball of clay with 2 inches radius has enough clay to make 1 brick

Therefore, No. of brick = (2)/(1)

No. of brick = (256π/3)/(32π/3)

No. of brick = 256/32

No. of brick = 8

So, 8 bricks can be made out of the given spherical ball

answer:-

To solve this problem, we need to compare the volumes of the two spheres and calculate how many times the smaller sphere can fit into the larger one.

The volume of a sphere with radius R is given by the formula V = (4/3)πR³.

Let's calculate the volume of the smaller sphere with a radius of 2 inches:

V₁ = (4/3)π(2³)

= (4/3)π(8)

= (32/3)π

Now, let's calculate the volume of the larger sphere with a radius of 4 inches:

V₂ = (4/3)π(4³)

= (4/3)π(64)

= (256/3)π

To find out how many times the smaller sphere can fit into the larger one, we divide the volume of the larger sphere by the volume of the smaller sphere:

Number of bricks = V₂ / V₁

= (256/3)π / (32/3)π

= 256/32

= 8

Therefore, using the amount of clay in a spherical ball with a radius of 4 inches, you can make 8 bricks of the same size as the ones made using the smaller sphere with a radius of 2 inches

thank you ❤️‼️