Question

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

First, we need to calculate the volume of the pool. The formula for the volume of a cylinder (which is the shape of the pool) is V = πr^2h, where r is the radius and h is the height.

Given:
Radius (r) = 6 feet
Height (h) = 8 feet

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

Next, we need to calculate the total gallons of water needed to fill the pool to capacity. Given that it takes 7 gallons of water to cover 1 cubic foot of the pool:
Total gallons = 288π x 7

Total gallons = 2016π

So, approximately 6337.15 gallons of water will be needed to fill the pool to capacity.