Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Volume = 600,000 cm³

r ≈
cm

97.7 cm

Step-by-step explanation:

The volume of a cylinder is given by the equation

where:

r is the radius of the cylinder

h is the height of the cylinder

V is the volume

In this problem, we know that the volume of the cylinder is

Here we are not given the height; here, let's assume it is

h = 20 cm

Therefore, we can re-arrange the equation to find the missing dimension, which is the radius of the cylinder:

Step-by-step explanation:

The complete question is

Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 10,000π in. The radius is 16

A cylinder volume is defined by

Where and .

Replacing given values, we have

Solving for the height, we have

Therefore, the missing value is the height, and it's equal to 746 centimeters, approximately.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.