Question

HELP ASAP PLS (GEOMETRY)

Answer 1

1 = 254.39

2 = 1205.76

3 = 702

Explanation:

1.) When you take the shape apart, you get a cylinder and half a sphere.

When you find the volume of the cylinder, (
`\pi r^(2)h`) or in this equation, (
`\pi *3^(2)*7`). Volume of the cylinder = 197.87.

When you find the volume of the sphere, (
`(4)/(3)\pi r^(3)`) or in this equation, (
`(4)/(3) *\pi*3^(3)`). Volume of the sphere = 113.04.

Because there is only half a sphere, you have to divide the volume by 2 to show only half the sphere exists. The new volume of the sphere is 56.52.

197.87 + 56.52 = 254.39

The volume of this figure is 254.39 cubic centimeters.

2.) When you take the shape apart, you get a cylinder and a cone.

When you find the volume of a cylinder, (
`\pi r^(2) h`) or in this equation, (
`\pi *6^(2) *5`). Volume of the cylinder = 1017.36.

When you find the volume of a cone, (
`\pi r^(2) (h)/(3)`) or in this equation, (
`\pi *6^(2) *(9)/(3)`). Volume of the cone = 188.4.

1017.36 + 188.4 = 1205.76

The volume of this figure is 1205.76 cubic centimeters.

3.) When you take the shape apart, you get a rectangular prism and a right square pyramid.

When you find the volume of a rectangular prism, (bwh) or in this equation, (12*9*5). Volume of the rectangular prism = 540

When you find the volume of a right square pyramid, (
`a ^(2)(h)/(3)`) or in this equation, (
`9^(2) *(6)/(3)`). Volume of the right square pyramid = 162

540 + 162 = 702

The volume of this figure is 702 cubic centimeters.