A cylinderical tin is 20cm in diameter and 14cm deep calculate the volume of the tin (b) find the edge of the cube of volume 216cm square 5
(a) v = πr^2 h = 1400π cm^3
(b) 216 = 6^3, so ...
and volume is in cm^3, not cm^2
(a) To calculate the volume of the cylindrical tin, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given that the diameter is 20 cm, we can calculate the radius by dividing it by 2:
Radius = 20 cm / 2 = 10 cm
Plugging in the values, we have:
Volume = π * (10 cm)^2 * 14 cm
Volume = 3.14 * 100 cm^2 * 14 cm
Volume = 4396 cm^3
Therefore, the volume of the cylindrical tin is 4396 cm^3.
(b) To find the edge of a cube with a volume of 216 cm^3, we need to find the cube root of the volume.
Cube root of 216 cm^3 = ∛216 cm^3
Using a calculator, we find:
∛216 = 6
Therefore, the edge of the cube is 6 cm.
To calculate the volume of a cylinder, you can use the formula V = π r^2 h, where V is the volume, r is the radius, and h is the height or depth of the cylinder.
In this case, we are given the diameter of the tin, which is 20 cm. To find the radius, we need to divide the diameter by 2: r = 20 cm / 2 = 10 cm.
The depth of the tin is given as 14 cm.
Now, we can substitute these values into the formula:
V = π (10 cm)^2 (14 cm)
V = 3.14 * 100 cm^2 * 14 cm
V = 3.14 * 1400 cm^3
V ≈ 4396 cm^3
So, the volume of the tin is approximately 4396 cm^3.
Moving on to the second part of your question, to find the edge length of a cube with a given volume, we need to find the cube root of the volume.
In this case, the volume of the cube is given as 216 cm^3. To find the edge length, we need to find the cube root of 216: ∛216 ≈ 6 cm.
So, the edge length of a cube with a volume of 216 cm^3 is approximately 6 cm.