Exploring Volume of Spheres, Cylinders, and Cones

Exploring Volume of Spheres, Cylinders, and Cones

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Hard

CCSS
8.G.C.9, 5.MD.C.5C, 3.MD.A.2

+1

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.8.G.C.9
,
CCSS.5.MD.C.5C
,
CCSS.3.MD.A.2
CCSS.HSG.GMD.A.3
,
Miss Etheridge covers pages 675-678 of the textbook, focusing on solving volume problems involving cylinders, cones, and spheres. The lesson includes calculating the volume of a cone, finding the volume of composite figures, comparing volumes of different shapes, and applying these concepts to real-world scenarios like making candles. The session emphasizes using calculators for precise calculations and understanding the relationships between different geometric shapes.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the volume of a cone?

1/3 * pi * r^2 * h

pi * r^2 * h

4/3 * pi * r^3

2 * pi * r * h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume of a cone with a radius of 6 and a height of 5, using 3.14 for pi?

188.4 units^3

565.2 units^3

100 units^3

300 units^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the height of a cylinder when given the total volume?

Divide the total volume by the area of the base

Multiply the volume of the half sphere by 2

Add the volume of the half sphere to the total volume

Subtract the volume of the half sphere from the total volume and solve for height

Tags

CCSS.5.MD.C.5C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the volume of a cone and a cylinder with the same radius and height?

The volume of the cylinder is three times the volume of the cone.

The volume of the cone is twice the volume of the cylinder.

The volume of the cylinder is the same as the volume of the cone.

The volume of the cone is half the volume of the cylinder.

Tags

CCSS.3.MD.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume formula for a sphere?

pi * r^2 * h

2 * pi * r^3

1/3 * pi * r^2 * h

4/3 * pi * r^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct way to calculate the volume of a cylinder?

pi * r^2 * h

4/3 * pi * r^3

1/3 * pi * r^2 * h

2 * pi * r * h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the volume of a half sphere?

1/2 * 4/3 * pi * r^3

2 * pi * r^3

4/3 * pi * r^3

pi * r^2 * h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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