What is the volume of the toy top pictured below?

The volume of the top toy is 67.1175 cubic feet

Step-by-step explanation:

The toy top is a composite figure of a cylinder and an hemisphere, the volume of the figure is therefore, the sum of the volume of the cylinder and the hemisphere

The dimensions of the cylinder are;

The height of the cylinder = 6 feet

The diameter of the cylinder, = 1.5 feet

Therefore, the radius of the cylinder, = 1/2 × = 1/2 × 1.5 ft. = 0.75 ft.

The volume of the cylinder = Area of the base × Height =  π × × (The height of the cylinder)

Where;

π = 3.14

∴ The volume of the cylinder = 3.14 × (0.75 ft.)² × 6 ft.= 10.5975 ft.³

The dimensions of the hemisphere are;

The diameter of the hemisphere, = 6 feet

Therefore, the radius of the hemisphere, = 1/2 ×  = 1/2 × 6 ft. = 3 ft.

The volume of the hemisphere = 2/3×π×

∴ The volume of the hemisphere = 2/3 × 3.14 × (3 ft.)³ = 56.52 ft.³the

The volume of the top toy = The volume of the cylinder + The volume of the hemisphere

∴ The volume of the top toy = 10.5975 ft.³ + 56.52 ft.³ = 67.1175 ft.³.

step-by-step explanation:

yes

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer