A cone with a radius of 6 meters has a volume of 542.87m^3. Find the slant height of the cone.

Slant height = 14.394m

Step-by-step explanation:

Using the formula for volume of a cone

V = πr^2h/3

V - volume of a cone

π - pie 22/7

r - radius of a cone

h - slant height of a cone

We are provided with some information

V = 542.87cm^3

π - 22/7

r = 6m

h = ?m

Inserting the values given into the formula

V = πr^2h/3

542.87 = 22/7 * 6^2 * h/3

542.87 = 22/7 * 36 * h/3

542.87 = 22 * 36 * h / 7 * 3

542.87 = 792h / 21

Cross multiply

542.87 * 21 = 792h

11400.27 = 792h

To get the value of h, divide both sides by 792

11400.27/792 = 792h/ 792

14.394 = h

h = 14.394m

Slant height = 14.394m

she gotta workk that a 2

step-by-step explanation:

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%