Question

Andy's job is to attach a ladder to a water tank. The water tank is a 20ft wide cylinder and
has a volume of 9,420ft^3
. If the length of the ladder is equal to the height of the water
tank, how long is the ladder?
A) 30ft
B) 9.5ft
C) 8.9ft
D) 11ft

Answer 1

Answer:

(A) 30ft

Step-by-step explanation:

The water tank is a cylinder with a volume of 9,420ft3. Therefore 9,420 = (?) (r2) (h) = (3.14) (102) (h) = (3.14) (100) h;

The water tank is a cylinder with a volume of 9,420ft3. Therefore 9,420 = (?) (r2) (h) = (3.14) (102) (h) = (3.14) (100) h;h ? 30ft

Answer 2

Answer:

A) The length of the ladder is 30 fit.

Step-by-step explanation:

Given: Diameter = 20 fit

Radius = 20/2 = 10 fit

Volume of cylinder = 9420 cubic fit

Find: If the length of the ladder is equal to the height of the water

tank, how long is the ladder.

Formula Volume of cylinder $= \pi r^2h$

$\frac{22}{7} (10)^2 h = 9420\\\frac{22}{7} (100) h = 9420\\frac{2200}{7} h = 9420\\h = 9420 \times \frac{7}{2200}\\= 4.28 \tiems 7\\= 29.68$

≈ 30 ft

So, height of water tank = 30 ft.

If the length of the ladder is equal to the height of the water tank.

So,  the length of the ladder is 30 fit.