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.

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step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

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