Adrian is painting the outside of a cylinder that plans to use as a coffee table. the cylinder has a radius of 4 feet and a height of 3 feet. adrian wants to paint all around the outside of the cylinder, including the top and bottom faces in order to understand how much paint is needed, he wants to know the surface area of the outside of the cylinder. what is the surface area of the cylinder measured in square feet? use 3.14 for pi and round you're answer to the nearest tenth
To find the surface area of the outside of the cylinder, we need to calculate the areas of the curved surface, top face, and bottom face separately.
The curved surface area of a cylinder is given by the formula: 2πrh, where r is the radius and h is the height.
Curved surface area = 2 * 3.14 * 4 * 3 = 75.36 square feet.
The area of the top face (a circle) is given by the formula: πr^2, where r is the radius.
Top face area = 3.14 * 4^2 = 50.24 square feet.
The area of the bottom face (another circle) is also given by the formula: πr^2, where r is the radius.
Bottom face area = 3.14 * 4^2 = 50.24 square feet.
To calculate the total surface area, we add the curved surface area, top face area, and bottom face area together.
Total surface area = curved surface area + top face area + bottom face area
Total surface area = 75.36 + 50.24 + 50.24 = 175.84 square feet.
Therefore, the surface area of the outside of the cylinder is approximately 175.84 square feet.
Eli is making a model castle out of clay. one of the roof peaks is in the shape of a cone with a diameter of 14 inches and a slant height of 20 inches. what is the surface area of the cone peak round your answer to the nearest hundreth use 3.14 for pi
To find the surface area of the cone peak, we need to calculate the area of the curved surface.
The formula for the curved surface area of a cone is πrl, where r is the radius and l is the slant height.
Since the diameter is given as 14 inches, the radius (r) is half of that, so r = 14/2 = 7 inches.
The slant height (l) is given as 20 inches.
Curved surface area = 3.14 * 7 * 20 = 439.6 square inches.
Therefore, the surface area of the cone peak is approximately 439.6 square inches.
A water bottle has a height of 16 inches and a radius of 4 inches what is the volume in cubic inches of the water bottle use 3.14 for pi
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the height (h) of the water bottle is 16 inches and the radius (r) is 4 inches, we can substitute these values into the formula:
V = 3.14 * (4^2) * 16
V = 3.14 * 16 * 16
V = 803.84 cubic inches
Therefore, the volume of the water bottle is 803.84 cubic inches.