Question

A spherical meteorite lies half exposed in the earth. The diameter of the meteorite is 14 inches. What is the surface area of the exposed surface? Round your answer to the nearest hundredth.

Answer 1

So the diameter of the meteorite is 14 inches, but only half of that is exposed. 14/2=7.
7 is now the radius of the meteorite.
Do you know the equation for the surface area of a sphere?

Answer 2

4*pi*r^2

Answer 3

Good. Now plug in the values.
And tell me what you get

Answer 4

307.72?

Answer 5

Not exactly.
Did you multiply 7*2?

Answer 6

no, i did 7*7 to get 49. then i multiplied 49*4 to get 196. then divided it by two because you are supposed to find half of the surface area because it is the surface area exposed. then multiplied it by pi

Answer 7

What about the pie sign?

Answer 8

i did that it is the last thing i wrote

Answer 9

so 98*3.14

Answer 10

I got 307.72

Answer 11

that's what i got

Answer 12

Do you have any answer choices?

Answer 13

no sorry

Answer 14

Then your answer is correct.

Answer 15

I have another question, would you mind helping me?

Answer 16

Sure

Answer 17

Caitlyn made a teepee for a class project. Her teepee has a diameter of 6 feet. The angle the side of the teepee made with the ground was 65 degrees. What was the volume of the teepee? Round your answer to the nearest hundredth.

Answer 18

Ok, so what would you call the teepee?
Prism/ Cylinder or Pyramid/ Cone?

Answer 19

a cone

Answer 20

ok so the equation for a cone is V \[V=\frac{ 4 }{ 3 }\pi r ^{3}\]

Answer 21

yah

Answer 22

I'm sorry that is the wrong equation

Answer 23

its 1/3pir^2h

Answer 24

A cone would be: \[V=\frac{ 1 }{ 3 } Bh\]
yeah. So now plug in values

Answer 25

wouldn't a cone be \[1/3pir^2h\]

Answer 26

No that is for the surface area of a cone. And what we're looking for is the volume of the teepee.

Answer 27

I mean cylinder for the equation you wrote. So the 65 degree angle would be, I believe, the base and the height is the 6 ft.