Changing dimensions of 3d figures

For her fitness class, Ana bought a stability ball that has a volume of 4,500π cubic inches. Fredrick is taking the same fitness class and needs a stability ball that is congruent to Ana's because he is the same height. What must the diameter of Fredrick's stability ball be for it to be congruent to Ana's?

* 30 in

The volume of one prism is known, along with the height of another prism. The values are shown below. (v=90 in3; h = 15) For the two prisms to be congruent, what must the area of the base be, given that the triangular bases are congruent?

* 6 in

A right pyramid has a square base with a side length of 8 units. The volume of the pyramid is 128 cubic units. Which solid is congruent to the described pyramid?

* B = 64 units 2; h = 6

Which properties are necessary to claim that the two prisms are congruent? Check all that apply.

* The lengths of corresponding edges are in a 1:1 ratio. * The volumes are equal. * The base areas are equal. * The prisms have the same height.

Are the two spheres congruent? (sphere 1 has diameter of 12) (sphere 2 has radius of 7)

* no, because they have a different radius length

These two cylinders are congruent. Cylinder A has a radius of 4 centimeters. Cylinder B has a volume of 176π cubic centimeters. What is the height of cylinder B?

*11 cm

The two cones are congruent. Determine the unknown measures of the cones.

A = ✔ 3.1 units B = ✔ 4.2 units C = ✔ 5.2 units D = ✔ 42 units3

The two cones below have the same radius, height, and volume. Are the two cones congruent? Explain and include details to support your claim.

No, the cones are not congruent. *One cone is oblique. * The cones have different slant heights. * The lengths of all corresponding edges are not equal. * Congruent cones must have congruent corresponding measures, including slant height.