The volume of a cylinder, V, in terms of radius, r, and height, h, is given by V = πr 2
h. If a cylinder has
a height of 6 meters, express the radius as a function
of V and find the radius of a cylinder with volume of
300 cubic meters.

See explanation

Step-by-step explanation:

Volume of a cylinder = πr²h

Solve for r

V = π * r² * h

r² = V/πh

Find the square root of both sides

r = √V/πh

If height = 6 meters and volume = 300 cubic meters. Find r

r = √V/πh

= √(300/3.14*6)

= √(300/18.84)

= √15.923566878980

r = 3.9904344223381

Approximately,

r = 4 meters

The tower is leaning at 79.70°.

Step-by-step explanation:

Hi, to answer this question we have to apply a trigonometric formula.

Since we know the opposite side and hypotenuse of the triangle formed by the tower (see attachment) we can apply:

Sin θ = Opposite Side/Hypotenuse

Replacing with the values given:

Sin θ = 55/55.9

Solving for θ

θ = arc sin 55/55.9 = 79.70°

The tower is leaning at 79.70°.

Feel free to ask for more if needed or if you did not understand something.