9-32. Hernando needs to replace the hot water tank at his house. He estimates that his family needs a tank that can hold at
least 75 gallons of water. His local water tank supplier has a cylindrical model that has a diameter of 2 feet and a height
of 3 feet. If 1 gallon of water is approximately 0.1337 cubic feet, determine if the supplier's tank will provide enough
water.

The suppliers tank won't deliver enough water.

Step-by-step explanation:

Hernando needs at least 75 gallons of water . His supplier has a cylindrical model that has a diameter of 2 ft and height of 3 ft. The volume of water at which his supplier tank can accommodate can be computed as follows .

Since the suppliers model is a cylinder we will use volume of a cylinder formula.

volume = πr²h

where

r = radius = 2/2 = 1 ft

h = height = 3 ft

volume = π × 1² × 3

volume = 3.14 × 3

volume = 9.42  ft³

The suppliers volume of water is 9.42 ft³ and Hernando needs  at least 75 gallons of water.

Since

0.1337 ft³ = 1 gallon of water

9.42 ft³ = ? gallon of water

cross multiply

gallon of water = 9.42/0.1337

gallon of water = 70.4562453254

gallon of water = 70.47 gallons.

The suppliers tank won't deliver enough water.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

me

step-by-step explanation: