Question

Find the volume of this sphere.

Use 3 for TT.
V = πr³
V =TT4³
V≈
V≈ [?] cm³
Hint: Calculate the value of () × (3) × (64)
X
8 cm
()(3)(64)

Answer 1

V = 256 cm³

Step by step explanation:

Given that, diameter of the sphere is: 8cm

First, let us find the radius of the sphere:

d = 2 r

8 = 2 r

8/2 = 2r / 2

4cm = r

The formula to find the volume of the sphere:

`V=(3)/(4) \pi r^(3) \\`

Here,

r ⇒ radius

Let us find it now.

`V=(3)/(4) \pi r^(3) \\\\V=(3)/(4) *\pi *4^(3) \\\\V=(768)/(4) \\\\V=256cm^(3)`

Answer 2

256 cm³

Step-by-step explanation:

`\sf Volume\:of\:sphere=(4)/(3) \pi (radius)^3`

Here given:

• diameter: 8 cm

• radius: diameter/2 = 8/2 = 4 cm

Solve for volume:

`\sf Volume\:of\:sphere=(4)/(3) \pi (4)^3`

take π as 3

`\sf Volume\:of\:sphere=(4)/(3) (3) (4)^3`

simplify exponent

`\sf Volume\:of\:sphere=(4)/(3) (3) (64)`

evaluate following

`\sf Volume\:of\:sphere=4(64) = 256 \ cm^3`