Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis shown. Each small square on the grid represents 1 square inch. What is the volume of the three-dimensional figure? The volume of the figure described above is cubic inches. Express answer in terms of pi or a. For example, if answer is 5 times pi, write answer as 5pi or 57.

Q: The length of a rectangle is 10 centimeters, and the perimeter is 32 centimeters. What is the area?

A: Area of rectangle is length * width.

Q: A paint company wants to change the height of its cans of paint to 15 centimeters tall so when the…

A:

Q: The volume of a cylinder varies directly as the height and the square of the radius. A cylinder with…

A: Calculation: The volume of cylinder varies directly with height. V∝h here, V is volume of cylinder…

Q: Find the area of this composite figure consisting of a rectangle and a Area = square centimeters…

A:

Q: An artist creates a mural of a rectangular portrait. The mural has a length that is ten times as…

A: The solution is given below:

Q: A can is in the shape of a cylinder. The can has a volume of 342 cubic inches and a diameter of 6…

A: Given query is to find the height of the can

Q: The figure shows a can of three tennis balls. The can is just large enough so that the tennis balls…

A:

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.