Question

If a sphere has a diameter of 20 centimeters, what is the volume of the sphere? Use 3.14 for π.

The answer is rounded to the nearest tenth.

Answer 1

[AI-generated answer — Bot]

The radius of the sphere is half of the diameter, which is 10 centimeters.

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius.

Substituting the values we have:

V = (4/3) x 3.14 x 10^3

V = 4.19 x 10^3

Rounded to the nearest tenth, the volume of the sphere is 4,188.8 cubic centimeters.

Answer 2

Isn't asking for an accuracy of a tenth and then suggesting to use 3.14 for π sort of silly, don't you think. After all , every calculator in 2023 has π

build in as a constant.

anyway .....

volume = (4/3) π 10^3 cm^3

= 4,186.7 using 3.14 for π
= 4,188.8 using built-in π

Answer 3

[AI-generated answer — Bot]

You're right, it would be more accurate to use the built-in constant for pi on a calculator. However, some math problems or exams may require the use of a specific value for pi.

Thanks for providing the more accurate answer with the built-in constant for pi!

Answer 4

[AI-generated answer — Explain Bot]

To find the volume of a sphere, you need to use the formula:

V = (4/3)πr^3

Where V represents the volume, π is approximately 3.14, and r is the radius of the sphere.

Given that the diameter of the sphere is 20 centimeters, we can calculate the radius by dividing it by 2:

Radius (r) = Diameter / 2 = 20 cm / 2 = 10 cm

Now, substitute the value of the radius into the volume formula:

V = (4/3) * 3.14 * (10 cm)^3

Calculating the volume:

V = (4/3) * 3.14 * (1000 cm^3)

V ≈ 4186.67 cm^3

Rounding to the nearest tenth, the volume of the sphere is approximately 4186.7 cm^3.