
Related Rates

Quiz
•
Mathematics
•
12th Grade
•
Medium
+6
Standards-aligned
Milissa Stanford
Used 3+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Tags
CCSS.HSG.SRT.C.6
CCSS.HSG.SRT.C.8
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Chris is sitting on the edge of a dock tossing rocks into the water. As each rock hits the water, small circles appear traveling outward from the point of impact. The radius of the circle is changing at a rate of 5 in/sec. How fast is the area of the outer circle changing when the diameter is 8 in?
80pi in/sec
20pi in/sec
60pi in/sec
40pi in/sec
Tags
CCSS.HSG.GMD.A.1
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing each edge is 1 centimeter.
-12 cm^3/sec
-9 cm^3/sec
12 cm^3/sec
9 cm^3/sec
Tags
CCSS.HSG.GMD.A.3
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The radius of the spill increases at a rate of 5 m/min. How fast is the area of the spill increasing when the radius is 5 m?
50π m2/min
47π m2/min
52π m2/min
40π m2/min
Tags
CCSS.HSG.GMD.A.1
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A spherical snowball melts so that its radius decreases at a rate of 4 in/sec. At what rate is the volume of the snowball changing when the radius is 4 in?
-262π in3/sec
-247π in3/sec
-256π in3/sec
-263π in3/sec
Tags
CCSS.HSG.GMD.A.2
CCSS.HSG.GMD.A.3
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A 5 ft ladder is leaning against a wall and sliding towards the floor. The top of the ladder is sliding down the wall at a rate of 2 ft/sec. How fast is the base of the ladder sliding away from the wall when the base of the ladder is 3 ft from the wall?
4/3 ft/sec
8/7 ft/sec
1 ft/sec
8/3 ft/sec
Tags
CCSS.HSG.SRT.C.8
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Tags
CCSS.HSG.GMD.A.3
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