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.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)