Unit: Volume Review Part 1

Unit: Volume Review Part 1

Cylinders, Cone, Pyramids, and Spheres

Cylinder Formula

• Volume - V=Bh or V =  $\pi r^2\times h$  

• B = Area of base, h = height

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 418.00 cm³
• 139.33 cm³
• 130.62 cm³
• 1671.98 cm³

Multiple Choice

What is the exact volume of the cylinder?

• 72π m³

• 144π m³

• 150π m³

• 452.16m³

Multiple Choice

Find the Height of the cylinder when given the following: Volume = 9375π , Radius = 25.

• 15

• 375

• 35

• 18

Cone Formula's

• V = $\ \frac{1}{3}Bh$  or  $V=\frac{1}{3}\pi r^2\times h$  

•  SA = Surface Area     R = Radius     l = slant height

   $SA\ =\ \pi r^2\ +\ \pi rl$  

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.  r = 2ft  h = 3ft

 $V=\frac{1}{3}\pi r^2\times h$  

• 12.56 ft³

• 37.68 ft³

• 18.84 ft³

• 6.28 ft³

Multiple Choice

What is the Height of a cone with a volume of 432π and a base area of 16π ?

 $V\ =\ \frac{1}{3}Bh$  

• 27

• 54

• 81

• 9

Multiple Choice

What is the area of the base of a cone with a volume of 96⫪ in^3 and a height of 24 in.?
 $V=\ \frac{1}{3}Bh$  

• 8π

• 32π

• 4π

• 12π

Multiple Choice

Find the total surface area of the cone. Round to the nearest tenth.

 $SA=πr2+πrl$  

  

• 37.7 m²

• 50.3 m²

• 75.4 m²

• 25.1 m²

Multiple Choice

Find the total surface area of the cone. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

 $SA=πr2+πrl$  

• 1158.5 sq. m

• 1287.2 sq. m

• 1007.9 sq. m

• 1462 sq. m

Pyramid Formula's

•  $V=\frac{1}{3}Bh$                                     B = area of the base , h = height

•  $SA=B\ +LA\$                         B= area of base LA = Lateral face area, 4 x the area of a triangle  $\left(\frac{1}{2}bh\right)$  

Multiple Choice

Calculate the volume of the square pyramid in the picture. Round to the nearest whole number if necessary.
height = 4 m and the square base edge length is 4 m.

 $V=\frac{1}{3}Bh$  

• 21 m³

• 64 m³

• 32 m³

• 11 m³

Multiple Choice

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

 $V\ =\frac{1}{3}Bh$  

• 216 yd³

• 108 yd³

• 72 yd³

• 36 yd³

Multiple Choice

The volume of a pyramid is 120 cubic inches, the area of base is 50 squared inches, What is the height?

 $V\ =\ \frac{1}{3}Bh$  

• 1.3 in

• 7.2 in

• 2 in

• 2.4 in

Multiple Choice

What is the total surface area of the pyramid in square centimeters?

 $SA=B\ +LA$  

• 45.5 $cm^2$
  

• 60.2 $cm^2$

• 37.45 $cm^2$

• 105.7 $cm^2$

Multiple Choice

Find the surface area of the square pyramid in the picture.

 $SA\ =\ B+LA$  

• 15m²

• 16m²

• 18m²

• 20m²

Sphere Formula's

•  $V=\ \frac{4}{3}\pi r^3$  

•  $SA\ =\ 4\pi r^2$  

Multiple Choice

Find the volume of the sphere. Use 3.14 for $\pi$ .  Round to nearest tenth.

 $V=\frac{4}{3}\pi r^3$  

• 78.5 $m^3$  

• 392.5 $m^3$  

• 523.3  $m^3$  

• 62.8  $m^3$  

Multiple Choice

Find the Volume of the Sphere, use 3.14 instead of  $\pi$  : Diameter = 12 ft

 $V=\frac{4}{3}\pi r^3$  

• 904.32 $ft^3$  

• 7,234.56  $ft^3$  

• 150.72  $ft^3$  

• 602.88 $ft^3$  

Multiple Choice

Find the surface area of a sphere with a diameter of 10 cm, leave in terms of π.

• 40π   $cm^2$  

• 400π   $cm^2$  

• 100π  $cm^2$  

• 200π   $cm^2$  

Multiple Choice

What is the surface area of the sphere with a radius 5cm. Leave in terms of π.

SA=4πr²

• 40π cm²

• 100π cm²

• 400π cm²

• 625π cm²

Multiple Choice

Find the radius of a sphere with a surface area of  $484\pi\ cm^2$  .

 $SA\ =\ 4\pi r^2$  

• r = 13cm

• r=11cm

• r =9cm

• r = 14 cm

Circle formula's

•  $C\ =\ 2\pi r\ or\ C\ =\ \pi d$  

•  $A=\pi r^2$  

•  $Arc\ length\ =\ \frac{n\degree}{360}\times2\pi r\$  

•  $Sector\ area\ =\ \frac{n\degree}{360}\ \times\ \pi r^2$  

Multiple Choice

Find the arc length. Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Multiple Choice

What is the area of the shaded sector?

• 339.12 in²

• 113.04 in²

• 339.29 in²

• None of the above

Multiple Choice

In circle O, the radius is 4, and the arc length is 4.2 feet. Find the measure of the angle to the nearest degree.

• 90 $\degree$

• 60 $\degree$

• 55 $\degree$

• 113 $\degree$

Multiple Choice

An arc of a circle has a length of  $2.5\pi$ cm, and a radius of 9 cm. What is the sector area. 

•  $\frac{5}{9}\pi\ cm^2$  

•  $\frac{27}{4}\pi\ cm^2$  

•  $\frac{45}{4}\pi\ cm^2$  

•  $\frac{17}{3}\pi\ cm^2$