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.
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.
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
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!
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.