05.06.2020

a sphere has a diameter of 24 units. what is it’s volume in cubic units ?

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Mathematics

Select the correct answer. A sphere has a diameter of 24 units. What is its volume in cubic units? A. 576 cubic units B. 1,728 cubic units C. 2,304 cubic units D 6,912 cubic units

Step-by-step answer

P Answered by PhD

C.2304

Step-by-step explanation:

volume for a sphere formula: V=4/3πr^3

$V=4/3\pi r^3=4/3*\pi *12^3=7238.23\\7238.23/\pi \\=2304\\$

Mathematics

Select the correct answer. A sphere has a diameter of 24 units. What is its volume in cubic units? A. 576 cubic units B. 1,728 cubic units C. 2,304 cubic units D 6,912 cubic units

Step-by-step answer

P Answered by PhD

C.2304

Step-by-step explanation:

volume for a sphere formula: V=4/3πr^3

$V=4/3\pi r^3=4/3*\pi *12^3=7238.23\\7238.23/\pi \\=2304\\$

Mathematics

A sphere has a diameter of 24 units. What is its volume in cubic units? A.576pi cubic units B.1,728pi cubic units C.2,304pi cubic units D 6,912pi cubic units Pls help!!

Step-by-step answer

P Answered by PhD

C.2,304pi cubic units

Step-by-step explanation:

Volume of the sphere:

V = 4/3πr³

Since d = 24 units,

r = d/2 = 12 units

Then

V = 4/3π(12³) = 2304π

Correct option is C

Mathematics

Asphere has a diameter of 24 units. what is its volume in cubic units? a.576π cubic units b.1,728π cubic units c.2,304π cubic units d.6,912π cubic units

Step-by-step answer

P Answered by PhD

Volume of the sphere is $2304\pi\ cubic\ unit$ .

Option (C) is correct .

Step-by-step explanation:

Formula

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

Where r is the radius of the sphere .

As given

A sphere has a diameter of 24 units.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{24}{2}$

= 12 units

Putting the value of radius in the formula

$Volume\ of\ a\ sphere = \frac{4\times 12\times 12\times 12}{3}\pi$

$Volume\ of\ a\ sphere = \frac{6912}{3}\pi$

$Volume\ of\ a\ sphere = 2304\pi$

Therefore the volume of the sphere is $2304\pi\ cubic\ unit$ .

Option (C) is correct .

Mathematics

Asphere has a diameter of 24 units. what is its volume in cubic units? a. 5767 cubic units b. 1,7287 cubic units c.2,304 cubic units d. 6,912 cubic units

Step-by-step answer

P Answered by PhD

V=7234.56 cubic units

Step-by-step explanation:

Volume of a sphere is given by the formula

$V =\frac{4}{3} \pi r^3$

Where r is the radius. Radius is half of the diameter. Diameter is 24 units , hence radius is 12 units.

Putting this value of radius r =12 units in the formula .

$V =\frac{4}{3} \pi (12)^{3}$

$V =\frac{4}{3} \times \pi \times 12 \times 12 \times 12$

$V =4 \times \pi \times 12 \times 12 \times 4$

$V =4 \times 3.14 \times 12 \times 12 \times 4$

V=7234.56

Volume is 7234.56 cubic units

Mathematics

A beach ball is a sphere with a diameter of 24 inches. Which value is closest to the volume, in cubic inches, of the beach ball? A. 50, b. 101, c. 733, d. 57,906

Step-by-step answer

P Answered by Master

7234.56.

Step-by-step explanation:

Given:

Diameter = 24 inches

To find:

Volume of beach ball = ?

Solution:

First of all find radius, r = half of diameter

r = $\frac{24}{2} = 12 \ inches$

By using formula, $Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$Volume\ of \ sphere = \frac{4}{3} \pi r^{3}$

= $\frac{4}{3} \times3.14\times12\times12\times12\\\frac{21703.68}{3} = 7234.56$

Therefore, the correct value of the volume, in cubic inches, of the beach ball is 7234.56.

Mathematics

Asphere has a diameter of 24 units. what is its volume in cubic units? 576π cubic units1,728π cubic units2,304π cubic units6,912π cubic units

Step-by-step answer

P Answered by Specialist

I just worked out the problem , the answer should be

2,304 π cubic units

Hope this helps.

Mathematics

Asphere has a diameter of 24 units. what is its volume in cubic units? 576π cubic units1,728π cubic units2,304π cubic units6,912π cubic units

Step-by-step answer

P Answered by Master

I just worked out the problem , the answer should be

2,304 π cubic units

Hope this helps.

Mathematics

A beach ball is a sphere with a diameter of 24 inches. Which value is closest to the volume, in cubic inches, of the beach ball? A. 50, b. 101, c. 733, d. 57,906

Step-by-step answer

P Answered by Specialist

7234.56.

Step-by-step explanation:

Given:

Diameter = 24 inches

To find:

Volume of beach ball = ?

Solution:

First of all find radius, r = half of diameter

r = $\frac{24}{2} = 12 \ inches$

By using formula, $Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$Volume\ of \ sphere = \frac{4}{3} \pi r^{3}$

= $\frac{4}{3} \times3.14\times12\times12\times12\\\frac{21703.68}{3} = 7234.56$

Therefore, the correct value of the volume, in cubic inches, of the beach ball is 7234.56.

Mathematics

Asphere has a diameter of 24 units. what is its volume in cubic units? a.576π cubic units b.1,728π cubic units c.2,304π cubic units d.6,912π cubic units

Step-by-step answer

P Answered by Master

V = (4/3)π.R³

Diameter - 24 units so Radius = 24/2 = 12 Inits

V= (4π/3).12³ =(4π/3). 1728
V=1728 x 4/3 x π = 2,304.π units³

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