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Geometry 12.6 Surface Area and Volume of Spheres

Total questions: 10

Worksheet time: 23mins

Name
Class
Date
1.

Find the surface area of the sphere.

a)

1017.9 m21017.9\ m^2

b)

461.8 in2461.8\ in^2

c)

3619.1 m33619.1\ m^3

d)

1708.6 in31708.6\ in^3

2.

Find the surface area of the sphere.

a)

1017.9 m21017.9\ m^2

b)

461.8 in2461.8\ in^2

c)

3619.1 m33619.1\ m^3

d)

1708.6 in31708.6\ in^3

3.

Find the volume of a hemisphere, with a circumference of great circle  =24 π m=24\ \pi\ m  

a)

1017.9 m21017.9\ m^2

b)

461.8 in2461.8\ in^2

c)

3619.1 m33619.1\ m^3

d)

1708.6 in31708.6\ in^3

4.

Find the volume of a sphere with the area of the great circle  =55 π in2=55\ \pi\ in^2  

a)

1017.9 m21017.9\ m^2

b)

461.8 in2461.8\ in^2

c)

3619.1 m33619.1\ m^3

d)

1708.6 in31708.6\ in^3

5.

What is the formula for volume of a sphere?

a)

S=4πr2S=4\pi r^2

b)

V=43πr3V=\frac{4}{3}\pi r^3

c)

S=πr2S=\pi r^2

d)

V=12πr4V=\frac{1}{2}\pi r^4

6.

Pick the word that best matches the definition: A segment of a sphere from the center to a point on the sphere.

a)

Radius

b)

Chord

c)

Diameter

d)

Tangent

7.

Pick the word that best matches the definition: A segment of a sphere that connects any two points on the sphere.

a)

Radius

b)

Chord

c)

Diameter

d)

Tangent

8.

Pick the word that best matches the definition: A segment of a sphere that is a chord that contains the center.

a)

Radius

b)

Chord

c)

Diameter

d)

Tangent

9.

Pick the word that best matches the definition: A segment of a sphere that is a line that intersects the sphere in exactly one point.

a)

Radius

b)

Chord

c)

Diameter

d)

Tangent

10.

Pick the word that best matches the definition: All points in space that are a given distance from a given point called the center.

a)

Radius

b)

Chord

c)

Sphere

d)

Tangent