An automobile engineer is revising a design for a conical chamber that was originally specified to be 12 inches long with a circular base diameter of 5.7 inches. In the new design, the chamber is scaled by a factor of 1.5. What is the volume of the revised chamber? Round your answer to two decimal places.
Answers
r = 5.7/2 = 2.85
h = 12
Volume of original design =1/3π(2.85)²(12)
= 32.49π
= 102.07.....
Linear scale factor = 1.5 = 3/2
Volumetric scale factor = (3/2)³ = 27/8
Volume of revised design = 102.07..... × 27/8
= 344.487..... ⇒ 344.5 in³
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Rebecca tried to solve the problem but made a mistake in her calculations. You must analyze Rebecca's work, identify the error, and then correctly solve the problem. Then, create a model to justify your thinking.
Rebecca's Math Calculations
Step 1: 14×312
Step 2: 141×72
Step 3: 982=49
Solution: In September, 49 inches of rain fell.
Be sure to –
Identify the error that the student made
Answer the question prompt
Create a pictorial model that represents the problem situation and justifies your identification of the error and its solution
Explain how the model justifies the identified error and how to correct it
Answers
Answer:
4 inches
Step-by-step explanation:
Given that :
Amount of Rainfall in October = 14 inches
Amount of Rainfall in October = 3 1/2 times more than Rainfall during September
How much rain fell.during September :
The problem is a division problem ;
Since the amount of Rainfall in October is greater, then obtaining the amount of Rainfall in September requires dividing The amount of Rainfall in October by the number of times it is more than the September rainfall;
If multiplication is applied, then tbe value obtained will be greater than 14 inches. Which makes no sense since, the Rainfall in October is much greater than that in September.
14 inches ÷ 3 1/2
14 ÷ 7/2
14 * 2 / 7
= 28 / 7
= 4 inches
Hence, the amount of Rainfall in September is 4 inches
Answer:
46
Step-by-step explanation:
Answers
Answer:
The volume of sphere is 267.95 units³.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ where r represents radius. Then, you have to substitute the values into the formula :
= 4/3 x π x 4^3
= 268.08
= 85.33 π
~ 300 units ^3
Answers
The temperature at 10 am was 72° +13° = 85°.
Answers
Answer:
triangle ZJ=20°
Step-by-step explanation:
I think correct it
Answer:
14
Step-by-step explanation:
13.7 ---------------14
Answers
Answer:
176.37 pounds are in 80 kilograms
Step-by-step explanation:
The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.
A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.
Answers
Answer: a and b
Step-by-step explanation: