Equation of a Circle — Unit test Answers

An oblique cone has a radius of 5 units and a height of 9 units.

A triangular prism with a rectangular base is stacked on top of a rectangular prism. The rectangle has side lengths of 20 and 15 units. The rectangular prism has a height of 12. The triangular prism has a height of 16 units.

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

An oblique prism has a square base and height of 3 centimeters.

The radius of the sphere is 10 units.

A sphere is cut into 8 congruent pieces. The radius of the sphere is 8 centimeters. One piece is shown in the diagram.

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters.

The height of a cylinder is 6 inches. The diameter of the circular base of the figure is 10 inches.

A solid right pyramid has a square base with an edge length of s units and a height of h units.

The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2.What is the lateral area of the smaller cylinder?

The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tall.What is the approximate lateral area of the prism? Round to the nearest whole number.

A grain silo is composed of a cylinder and a hemisphere. The diameter is 4.4 meters. The height of its cylindrical portion is 6.2 meters.

A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground.What is the area of the surface of the silo that will be exposed to rain, wind, and sun?