Question

Dana is trying to decide between two different box trucks to help her move from Las Vegas to Arizona. She has alot of things to move and needs
the truck with the most space. Truck A is 26 feet long 7 feet wide and 10 feet high. Truck B is 24 feet long, 10 feet wide, and 8 feet high. Which Truck
would be best for Dana to rent for her move to Arizona?(3) A fish tank is partially filled with water. A sphere is placed in the tank and this increases the water level from 9 inches high to 13 inches
high. What is the volume of the sphere placed in the tank?VOLUME WORD PROBLEM PRACTICEWe will complete these word problems together as a class. Be sure to write in information that can be
used to solve the problem.(1) John wants to fill his new pool. The pool has a radius of 6 feet and a height of 8 feet. It will take 7 gallons
of water to cover 1 cubic foot of the pool. How many gallons of water will be needed to fill the pool to
capacity?

Answer 1

(1) To find the volume of the pool, we need to use the formula for the volume of a cylinder, which is V = πr^2h.

Given that the radius (r) is 6 feet and the height (h) is 8 feet, we can substitute these values into the formula:

V = π(6)^2(8) = π(36)(8) = 288π cubic feet.

Now, since it takes 7 gallons of water to cover 1 cubic foot of the pool, we can find the total amount of water needed by multiplying the volume of the pool by 7:

Total gallons of water needed = 288π x 7 ≈ 2015.3 gallons

Therefore, John will need approximately 2015.3 gallons of water to fill his pool to capacity.