## Surface area and volume review (geometry)

4. The illustration depicts a decorative block made up of two solids: a cube and a hemisphere. The block’s base is a cube with a 5 cm edge, and the hemisphere on top has a diameter of 4.2 cm. Calculate the block’s total surface area.
6. A cone’s height is 30 centimeters. A plane parallel to the base cuts off the top of a narrow cone. What height above the base is the segment made if its volume is equal to the volume of the given cone?
7. The upper portion of a hollow cone is removed using a plane parallel to the base. Find the ratio of the line segments into which the altitude of the cone is divided by the plane if the curved surface of the remainder is the same as the curved surface of the entire cone.
8. A circus tent is cylinderical up to 3 meters in height and conical above. Find the area of the canvas required to make the tent if the base radius is 52.5 m and the slant height of the econical section is 53 m.

## Difficult questions on volume and surface area of cylinders

All of the Surface Area & Volume Worksheets have a visual preview. You can change the variables on these Surface Area & Volume Worksheets to fit your needs. Surface Area & Volume Worksheets are produced at random and can never be duplicated, ensuring that you have an unlimited supply of high-quality Surface Area & Volume Worksheets to use in the classroom or at home. For your convenience, we’ve included defining solid numbers, surface area and volume of prisms and cylinders, surface area and volume of pyramids and cones, and surface area and volume of spheres. Our Surface Area & Volume Worksheets are fully free to download, use, and alter.
For cubes, rectangular prisms, general prisms, cylinders, pyramids, cones, and spheres, these Surface Area and Volume Handouts contain useful descriptions, facts, and formulas. These worksheets are excellent tools for students in grades 5 through 10, including 5th, 6th, 7th, 8th, 9th, and 10th.
These Surface Area and Volume Worksheets will create twelve problems that will help you recognize various solid figures. These worksheets are excellent tools for students in grades 5 through 10, including 5th, 6th, 7th, 8th, 9th, and 10th.