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LMHS Assignment #6: SA & V of spheres and hemispheres

Total questions: 13

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Which formula calculates the volume of a sphere?

a)

43πr3\frac{4}{3}\pi r^3

b)

4πr24\pi r^2

c)

13πr3\frac{1}{3}\pi r^3

d)

πr2\pi r^2

2.

Which formula calculates the surface area of a sphere?

a)

43πr3\frac{4}{3}\pi r^3

b)

4πr24\pi r^2

c)

13πr3\frac{1}{3}\pi r^3

d)

πr2\pi r^2

3.
Find the surface area  of the sphere.
a)
310.2 cm2
b)
379.2 cm2
c)
221.6 m2
d)
456  cm2
4.
Find the volume of the sphere.
a)
310.2 cm3
b)
379.2 cm3
c)
221.6 m3
d)
456  cm3
5.
What is the surface area of a sphere with the radius of 4 inches?
a)
561.5 in2
b)
267.9 in2
c)
201.0 in2
d)
50.2 in2
6.
Find the volume of the hemisphere
a)
904.3 in3
b)
226.1in3
c)
113.0 in3
d)
452.2 in3
7.
Find the surface area of the hemisphere
a)
134.0 m2
b)
100.5 m2
c)
267.9 m2
d)
201.6 m2
8.

The surface area of a hemisphere is 1847.26 yd2. What is the radius?

a)

196 yd

b)

14 yd

c)

28 yd

d)

3.8 yd

9.
When a sphere has a volume of 972π, what is the radius of the sphere?
a)
9
b)
7
c)
18
d)
21
10.

Describe the error and correct the mistake.

a)

They used the radius instead of the diameter. he correct volume is 150\ in^2 .

b)

They used the diameter instead of the radius. The correct volume is 9.42\ in^2 .

c)

They used the diameter instead of the radius. The correct volume is 150\ in^2 .

d)

They used the radius instead of the diameter. The correct volume is 9.42\ in^2 .

11.

Mrs. Hazel has a square sheet of newspaper that measures 41 in. by 41 in. How many tennis balls can she cover if the radius is 1.5 in. ?

*Make sure you round to the nearest tennis ball!

(a)  

12.

What was video 1 from the slide show about?

a)

How the formula for the SA of a sphere is found using an orange.

b)

How the formula for the volume of a sphere is found using an orange.

c)

How the formula for the SA of a hemisphere is found using an orange.

d)

How the formula for the volume of a hemisphere is found using an orange.

13.

What was video 4 and 5 discussing from the slideshow in week 3?

a)

Examples on how to find SA & Volume of cones.

b)

How to derive the formula for SA & V of a sphere.

c)

Examples on how to find SA & Volume for spheres and hemispheres.

d)

I didn't watch. :(