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Problem 25

The height of a cone is 7 inches, and the radius is 4 inches. Round final answers to the nearest ten-thousandth. Round the slant height to the nearest hundredth and then calculate the lateral area of the cone.

Problem 25

LOCUS A cylinder can be defined in terms of locus. The locus of points in space a given distance from a line is the lateral surface of a cylinder. Draw a figure and describe the locus of all points in space that satisfy each set of conditions. (Figure can't copy) 5 units from a given line

Problem 25

The surface area of a cube is 864 square inches. Find the length of the lateral edge of the cube.

Problem 25

OPEN ENDED Draw a regular pyramid and a pyramid that is not regular. Explain the difference between the two.

Problem 26

LOCUS A cylinder can be defined in terms of locus. The locus of points in space a given distance from a line is the lateral surface of a cylinder. Draw a figure and describe the locus of all points in space that satisfy each set of conditions. (Figure can't copy) equidistant from two opposite vertices of a face of a cube

Problem 27

Determine whether each statement is sometimes, always, or never true. Explain. If the diagonal of the base of a square pyramid is equal to the diameter of the base of a cone and the heights of both solids are equal, then the pyramid and cone have equal lateral areas.

Problem 27

REASONING Compare and contrast finding the surface areas of a prism and a cylinder.

Problem 27

The lateral area of a rectangular prism is 156 square inches. What are the possible whole-number dimensions of the prism if the height is 13 inches?

Problem 28

Determine whether each statement is true or false . If false, give a counterexample. The radii of a sphere are congruent to the radius of its great circle.

Problem 29

Draw an oblique cone with a base area greater than 10 square centimeters. Mark the vertex and the center of the base.

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