Question

MEDAL & FAN ANYBODY ?
The volume of a sphere is 3,000 m.3. What is the surface area of the sphere to the nearest square meter?
a. 2,158 m2
b. 37,699 m2
c. 165 m2
d. 1,018 m2

Answer 1

Do you know the formula to calculate the surface area of the sphere and its volume?

Answer 2

@tinybookworm no i don not .

Answer 3

You can look up. But here, the surface area of sphere is \(S=4\pi r^2\) and its volume is \(\frac{4}{3} \pi r^3\).

Answer 4

@tinybookworm well what should i do step by step ?

Answer 5

Now can you calculate the radius based on the volume?

Answer 6

im not sure how to do that @tinybookworm

Answer 7

\(V= 3000= \frac{4}{3}\pi r^3\). Therefore, \(r^3=3000\times \frac{3}{4} \div \pi\), right?

Answer 8

Which equals 6975 correct ? @tinybookworm

Answer 9

Which one? r???

Answer 10

im sorry , i got 716.56 @tinybookworm

Answer 11

Correct. So \(r^3=716.56\), then r = ...

Answer 12

would i divide that by 3 ? @tinybookworm

Answer 13

No. \(r=\sqrt[3]{716.56}\)

Answer 14

i dont know how to do that @tinybookworm

Answer 15

Can your calculator do this one?

Answer 16

i dont exactly have the technology @tinybookworm

Answer 17

I can do it for you. So \(r=\sqrt[3]{716.56}\approx 8.95\). We have r, then we can calculate the surface area using the formular \(S=4\pi r^2\).

Answer 18

@tinybookworm is it d ?

Answer 19

i got it . thanks

Answer 20

Yes. Good job. Hope you can solve this from now. :)