What is the volume of a sphere with a radius of 6 units?A.864 units3B.288 units3C.216 units3D.144 units3
Question
What is the volume of a sphere with a radius of 6 units?A.864 units3B.288 units3C.216 units3D.144 units3
Solution
The volume V of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere.
Step 1: Substitute the given radius, r = 6 units, into the formula.
V = 4/3 * π * (6 units)³
Step 2: Calculate the cube of the radius, (6 units)³ = 216 units³.
V = 4/3 * π * 216 units³
Step 3: Multiply the result by 4/3 * π.
V = 288π units³
So, the volume of the sphere with a radius of 6 units is 288π units³.
None of the options A, B, C, or D match this result. Please check the options again.
Similar Questions
What is the volume of a sphere with a radius of 24 units?A.9216 units3B.2304 units3C.18,432 units3D.13,824 units3
What is the volume of a sphere with a radius of 9 units?A.972 units3B.243 units3C.486 units3D.324 units3
What is the surface area of a sphere with a radius of 13 units?A.676 units2B.1014 units2C.845 units2D.507 units2
A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube. a. ¼ b. 2π c. π/6-1 d. 1-π/4 e. 1-π/6
The radius, R, of a sphere is 6.6mm. Calculate the sphere's volume, V.Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.)=Vmm3
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.