Volume of Cylinders, Cones, and Spheres — Unit test Answers

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.What is the radius of the grape? Round to the nearest tenth of a centimeter.

An oblique cylinder is shown.

WXYZ is a trapezoid with WX ≅ YZ.

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

Figure CDEF is a parallelogram.

Figure ABCD is a parallelogram.

A partial proof was constructed given that MNOP is a parallelogram. By the definition of a parallelogram,MN ∥ PO and MP ∥ NO.Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.Therefore, __________________ because they are supplements of the same angle.

The diameter of the base of the cone measures 8 units. The height measures 6 units.

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units.

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

Figure ABCD is a rhombus.

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

A vegetable garden is in the shape of a parallelogram with the dimensions shown.

The height of a cone is twice the radius of its base.

Figure VWYX is a kite.

Rhombus J K L M is shown. The length of J K is 2 x + 4 and the length of J M is 3 x.