A spherical tank has a radius of 6 yards. It is filled with a liquid the cost $7.15 per cubic yard.What is the total volume of liquid in the tank?Use 3.14 for pi and round to the nearest cent
Accepted Solution
A:
We have two questions, but we need to find the volume of the spherical tank first. So the formula we will use to find the volume is: (4/3)πr³=V Let's fill in the information we have and solve. We will be using 3.14 for pi. (4/3)(3.14)6³ (4/3)(3.14)(216) 4.1867×216 I'll be using the repeating decimal for 4.1867, I rounded to 7, but there is a repeating 6. 904.32 So the volume is 904.32 yards³ (or 904.78 if using the full pi) We have to multiply the volume by 7.15. 904.32×7.15 6,465.89 It will cost $6,465.89 to fill the tank with the liquid.