So the volume of a sphere is

, and the volume of a cone is

(h=height, r=radius). Knowing only the radius, we can solve for the volume of the sphere. (Also I'm going to be leaving answers in pi form.)

Solve the exponents to get

Multiply 4/3 and 9 to get

Now that we know the volume of the sphere, we can solve for the height of the cone since the volumes for both are the same.

Solve the exponents to get

Divide

on each side to get

Multiply 3 on each side, and your answer should be
I think it's A. I can't really see the graphs clearly. It's the one that crosses at (15,2)
Answer:
The amount of calories Lucie will burn by jumping for 1 minute is 8 calories
Step-by-step explanation:
The given data values are;
Minutes
Calories Burned
40
320
80
640
120
960
160
1280
The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;
40 minutes of jump rope will yield 320 calories burnt
Therefore we have;
1 minute of jump rope will yield 320/40 = 8 calories burnt
The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.
The amount of the sale tax is $6
The total cost is $69
Answer:

Step-by-step explanation:
The formula of a lateral area of a cone:

r - radius
l - lateral height
We have the radius r = 6in and the height H = 8in.
Use the Pythagorean theorem to calculate the lateral height:

Substitute:
