Math

QuestionFind the volume of a sphere with a radius of 3 m3 \mathrm{~m}. Options: a. 113.1 b. 28.3 c. 9.4 d. 84.8

Studdy Solution

STEP 1

Assumptions1. The radius of the sphere is3 m. The formula for the volume of a sphere is given byV=43πr3V = \frac{4}{3} \pi r^3where V is the volume and r is the radius of the sphere.

STEP 2

Now, plug in the given value for the radius into the volume formula.
V = \frac{4}{} \pi ( \, m)^

STEP 3

Calculate the volume of the sphere.
V=3π(27m3)V = \frac{}{3} \pi (27 \, m^3)

STEP 4

Continue the calculation.
V=36πm3V =36 \pi \, m^3

STEP 5

Since π\pi is approximately equal to3.14, substitute this value into the equation.
V=36×3.14m3V =36 \times3.14 \, m^3

STEP 6

Calculate the final volume of the sphere.
V=113.04m3V =113.04 \, m^3The volume of the sphere is approximately113.1 cubic meters. So, the correct answer is (a)113.1.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord