Definitions/Formulas
Volume of a Cylinder
Volume of a Cone
Volume of a Sphere
Finding Missing Dimensions
MISC REVIEW
FROM LAST TEST
FROM LAST TEST
100
Definition: is the amount of space contained inside a three-dimensional figure. What vocabulary word goes with this definition?
a. Volume
b. Cylinder
c. Cone
d. Sphere
a. Volume
100
Mallory has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Mallory's soup pot hold? Formula:
pir^2h
1781.283 in3
100
Find the volume of the figure. Formula:
a. 144 pi
b. 324 pi
c. 48 pi
d. 108 pi
c. 48 pi
100
What shape is this?
a. Cone
b. Cylinder
c. Sphere
c. Sphere
100
Find the HEIGHT of this cylinder. Round your answer to the nearest whole number.
V = 352 yd3 ; r = 8 yd
Formula:
352=pi(8)^2h
a. 4 yd
b. 2 yd
c. 1 yd
d. 6 yd
b. 2 yd
100
How much does it cost for each hour of work?
How much is the flat fee for a job?
$60 per hr
$80 for flat fee
200
Formula:
pir^2h
You can use this formula to find the volume of a _____.
a. Sphere
b. Cone
c. Cylinder
d. Circle
c. Cylinder
200
Which has a greater volume? Formula:
pir^2h
Cylinder A: r = 3 m, h = 1.2 m
Cylinder B: d = 4 m, h = 2.5 m
Cylinder A: 10.8pi
Cylinder B: 10pi
Cylinder A !
200
A ice cream cone has a diameter of 3 inches and a height of 6 inches. How much ice cream can the cone hold? Formula:
1/3pir^2h
a. 18 pi in3
b. 4.5 pi in3
c. 13.5 pi in3
d. 9 pi in3
b. 4.5 pi in3
200
Find the volume of this sphere. Formula:
4/3pir^3
a. 113 m3
b. 10.6 m3
c. 9.4 m3
d. 14.1 m3
d. 14.1 m3
200
Find the missing dimension of the solid, round to the nearest tenth. Formula:
502=(3.14)(4)^2h
a. 8.9 ft
b. 10.9 ft
c. 9.9 ft
d. 11 ft
c. 9.9 ft
200
What is the rate of change?
What is the y-intercept?
rate of change = 6/.5 = 12
y-int = (0,-2)
300
Formula:
1/3 pir^2h
You can use this formula to find the volume of a _____.
a. Sphere
b. Cone
c. Cylinder
d. Circle
b. Cone
300
Find the volume of this shape. Formula:
pir^2h
a. 1936 pi
b. 704 pi
c. 484 pi
d. 242 pi
c. 484 pi
300
What is the volume of this cone. The measurements are in inches. Formula;
1/3pir^2h
a. 15.3 in3
b. 60.7 in3
c. 92.5 in3
d. 47.1 in3
d. 47.1 in3
300
The diameter of a sphere is 6 cm. What is the volume of the sphere? Formula:
A. 8pi cm3
B. 36pi cm3
C. 144pi cm3
D. 288pi cm3
B. 36pi cm3
300
Find the missing dimension of the solid, round to the nearest whole number. Formula:
85=1/3pir^2(9)
a. 2 yds
b. 4 yds
c. 3 yds
d. 5 yds
c. 3 yds
300
A car is is either going 45 miles per hour or 70 miles per hour, depending on the speed limits, until it reaches its destination 300 miles away.
Letting x represent the amount of time in hours that the car is going 40 miles per hour, and y being the time in hours that the car is going 70 miles per hour, an equation describing the relationship is: 45x+70y=300
If the car spends 2.5 hours going 70 miles per hour on the trip, how long does it spend going 45 miles per hour (round to the nearest hundreth)?
approx 2.8 hrs @ 45mph
400
Formula:
4/3 pir^3
You can use this formula to find the volume of a _____.
a. Sphere
b. Cone
c. Cylinder
d. Circle
a. Sphere
400
If a Cone has a volume of 30in3, then its related Cylinder has a volume of what?
a. 90 in3
b. 30 in3
c. 10 in3
a. 90 in3
400
If a Cylinder has a volume of 12cm3, then its related Cone has a volume of:
a. 12 cm3
b. 4 cm3
c. 36 cm3
b. 4 cm3
400
You have a globe that has a radius of 11 inches. Find the volume of your globe.
Formula:
4/3pir^3
a. 523 cubic inches
b. 7,000 cubic inches
c. 284 cubic inches
d. 5,575 cubic inches
d. 5,575 cubic inches
400
Find the RADIUS of the cylinder. Round your answer to the nearest whole number.
V= 2769 in3 ; h = 18 in
Formula:
2769=pir^2(18)
a. 49 in
b. 7 in
c. 6 in
d. 36 in
b. 7 in
400
LAST 2
500
What is the relationship between radius and diameter?
1. If you are trying to get from diameter to radius, then you _____ it by 2.
a. multiply
b. divide
2. If you are trying to get from radius to diameter, then you _______ it by 2.
a. multiply
b. divide
1: divide ; 2: multiply
500
Alexis has a cylindrical trash can with a diameter of 24 cm and a height of 42 cm. What is the approximate volume of the can? Formula:
pir^2h
A. 1,008 cm3
B 3,167 cm3
C 19,000 cm3
D 76,000 cm3
c. 19,000 cm3
500
Reid has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Reid's cup? Formula:
a. 21 cubic inches
b. 63 cubic inches
c. 66 cubic inches
d. 198 cubic inches
c. 66 cubic inches
500
What is the volume of a sphere with the radius of 4 inches ?
Formula:
4/3pir^3
a. 561.5 in3
b. 201 in3
c. 267.9 in3
d. 803.8 in3
c. 267.9 in3
500
Maddy's water bottle has a height of 8 inches and a volume of 56.55 inches3. How big is the radius on the water bottle?
Formula:
56.55=pir^2(8)
a. 3 inches
b. 2 inches
c. 4 inches
d. 1.5 inches
d. 1.5 inches
500
3rd ONE
600
What are the points that are on the graph of the line 3 x + 2 y = 12?
a. (2,3)
b. (3,2)
c. (0,6)
d. (4,0)
a, c, d