Brooke has a cylinder metal tin where he keeps his coins. The radius of the base is 5.5 inches and the height is 4 inches what is the area of a vertical cross section of the cylinder through the center of the base?

44 square inches.

Step-by-step explanation:

radius of the base = 5.5 inches

height of the cylinder = 4 inches

The shape of the vertical cross section of the cylinder through the center of the base would give a rectangle with length of 2r, and its width is the height of the cylinder.

Area of the vertical cross section = height x diameter

diameter of the cylinder = 2r

                                        = 2 x 5.5

                                        = 11 inches

The diameter of the cylinder is 11 inches.

Area of the vertical cross section = 4 x 11

                                        = 44 square inches.

The area of a vertical cross section of the cylinder through the center of the base is 44 square inches.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%