8th Grade

8th Grade

By Kevvin Hankins

​Standard for 3/22/2022

MGSE8.G.9 Apply the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. 

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​Learning Target

I can state and use the formulas for volumes to solve real world and mathematical problems involving cones, cylinders, and spheres.

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Vocabulary

Volume - the amount of space that a substance or object occupies, or that is enclosed within a container.

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Diameter - a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

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Radius - a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

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Cylinder - a solid geometric figure with straight parallel sides and a circular or oval cross section.

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Cone - a solid or hollow object which tapers from a circular or roughly circular base to a point.

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Sphere - a round solid figure, or its surface, with every point on its surface equidistant from its center.

Pi - The ratio of a circles circumference to its diameter In other words

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Cylinders

Example:

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Multiple Choice

What does the "B" in the volume formula V = Bh stand for?

• Bottom of the object
• Box
• Between
• Area of the base

Multiple Choice

Find the volume of the cylinder.

• 282.7

• 516.2

• 133

• 214

Multiple Choice

Find the volume of the cylinder. Round to the nearest tenth.

• 124.6 in³

• 88 in³

• 97.5 in³

• 78.9 in³

Cones

Example:

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Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth.

• 113.1 in³

• 37.7 in³

• 339.3 in³

Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth.

• 320.4 in³

• 314.2 in³

• 942.5 in³

• 267.4 in³

Spheres

Example:

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Multiple Choice

Find the volume of the given sphere.

• 1,563.5 cubic in.

• 1,325.5 cubic in.

• 1,129.9 cubic in.

• 1,819.6 cubic in.

Multiple Choice

Find the volume. Round to the nearest tenth.

• 5575.3 cm³

• 506.8 cm³

• 126.65 cm³

• 1393.11 cm³

Poll

How do you feel about today's lesson?

• I totally get it. I am an expert.

• I still need a little practice.

• I do not know what's going on. I need help.