Find the total surface area of the right cylinder. H= 12 and r = 7
bottom = pi r^2
top = pi r^2
side = 2 pi r h
A cylinder has a radius of 6 centimeters and height of 18 centimeters what is the volume
The volume of a cylinder is given as V=πr^2h, where r is the radius and h is the height.
Substituting the given values, we get:
V=π(6cm)^2(18cm)
V=1944π cubic centimeters
Therefore, the volume of the cylinder is 1944π cubic centimeters.
To find the total surface area of a right cylinder, we can use the formula:
Total Surface Area = 2πrh + 2πr^2
where π (pi) is a constant approximately equal to 3.14159.
Given the values for the height (H) and the radius (r) of the cylinder, we can substitute these values into the formula and calculate the total surface area.
Total Surface Area = 2π(7)(12) + 2π(7)^2
First, let's calculate 2πrh:
2πrh = 2 × 3.14159 × 7 × 12
≈ 527.787728
Next, let's calculate 2πr^2:
2πr^2 = 2 × 3.14159 × 7^2
≈ 615.75216
Finally, let's add these two values together to find the total surface area:
Total Surface Area ≈ 527.787728 + 615.75216
≈ 1,143.539888
So, the total surface area of the cylinder with a height of 12 and a radius of 7 is approximately 1,143.54 square units.