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Review Cylinder, Cone, and Sphere

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.
What is the formula for Volume of a Cone?
a)
V=π r3h
b)
V=π r2h
c)
V=(1/3)π r2h
d)
V=(4/3)π r3
2.
 Find the volume of the solid shown in the figure? Rounded to the nearest 1s place.
a)
7230
b)
6621
c)
1130
d)
907
3.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
4.
A cylinder has a height of 9 cm and a radius of 4 cm. What is the volume?
a)
36π  cm3
b)
144π cm3
c)
324π cm3
d)
16π cm3
5.
A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?
a)
600 in3
b)
1,885 in3
c)
3,140 in3
d)
12,566 in3
6.
Find the volume of a HEMIsphere with a radius of 4. 
a)
85.3π
b)
62.67π
c)
42.67π
d)
8π
7.
a)

65π65\pi

b)

105π105\pi

c)

115π115\pi

d)

125π125\pi

8.

The figure shows a cone of base radius 20 cm and slant height 29 cm. Find in terms of  π\pi  the total surface area of the cone !

a)

 980π cm2980\pi\ cm^2  

b)

 580π cm2580\pi\ cm^2  

c)

 400π cm2400\pi\ cm^2  

d)

 380π cm2380\pi\ cm^2  

9.

The figure shows a solid that consists of a right conical top, a cylindrical body and a hemispherical bottom. The radius of each of the 3 parts is 5 cm. Th cone is 12 cm high and the total height of two remaining parts is 20 cm. Find the total surface area of the solid !

a)

165π165\pi

b)

200π200\pi

c)

225π225\pi

d)

265π265\pi

10.

The shape of a glass stopper is composed of a hemisphere of radius 3 cm and a right circular cone as shown. The height of the glass stopper is 7 cm. Find the total surface area of the glass stopper !

a)

 27π27\pi  

b)

 33π33\pi  

c)

 37π37\pi  

d)

 40π40\pi