Answer:
<em>5,086.8cm³</em>
Step-by-step explanation:
Given the following
radius of the cylinder r = 9cm
Height of the cylinder h = 20cm
Volume of a cylinder = πr²h
Substitute:
V = π(9)²(20)
V= 3.14 * 81 * 20
<em>V = 5,086.8cm³</em>
<em>Hence the volume of the cylinder is 5,086.8cm³</em>
<em></em>
Answer:
261
Step-by-step explanation:
To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:
Hypotenuse = 7 + base = 14 + height
Perimeter = 84 inches
The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,
Perimeter = height + base + hypotenuse = 84
We let x = height and y = base. We calculate area as follows:
84 = x + y + (7 + y)
77 = x + 2y
x = 77 -2y
Hypotenuse is related to the other sides by the Pythagorean theorem.
Hypotenuse^2 = (x^2 + y^2)
(14 + x)^2 = x^2 + y^2
(14 + (77-2y))^2 = (77-2y)^2 + y^2
(91-2y)^2 = (77-2y)^2 + y^2
Solving for y and x
y = 28
x = 21
Area = (28)(21) / 2 = 294 square inches
The juice container that is 1 gallon
