Find the volume of the cylinder. Radius- 3cm, height- 6cm, slant height- 8cm

To find the volume of a cylinder, you can use the formula:

V = πr^2h

where V represents the volume, r is the radius, and h is the height.

Given that the radius is 3cm and the height is 6cm, we can substitute these values into the formula:

V = π(3^2)(6)
V = π(9)(6)
V = π(54)

To compute the volume, you can use the approximation 3.14 for π:

V ≈ 3.14(54)
V ≈ 169.56

Therefore, the volume of the cylinder is approximately 169.56 cubic centimeters.

A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar

To find the volume of the peanut butter jar, we need to know its shape. Assuming that the jar is cylindrical, we can use the formula for the volume of a cylinder:

V = πr^2h

where V represents the volume, r is the radius, and h is the height.

To find the radius, we can divide the width of the jar by 2:

r = 10 cm / 2 = 5 cm

We're given that the height of the jar is 16 centimeters:

h = 16 cm

Substituting these values into the formula:

V = π(5^2)(16)
V = π(25)(16)
V = π(400)

To compute the volume, you can use the approximation 3.14 for π:

V ≈ 3.14(400)
V ≈ 1256

Therefore, the volume of the peanut butter jar is approximately 1256 cubic centimeters.

To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.

In this case, we are given the radius (r) as 3 cm and the height (h) as 6 cm. To find the volume, substitute these values into the formula:

V = 3.14159 * (3 cm)^2 * 6 cm

First, simplify the expression for the radius squared:

V = 3.14159 * (9 cm^2) * 6 cm

Next, multiply the values together:

V = 3.14159 * 54 cm^3

Now, calculate the result:

V ≈ 169.646 cm^3

Therefore, the volume of the given cylinder is approximately 169.646 cubic centimeters.