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Drupady [299]
2 years ago
6

The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubi

c
inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7
inches?
O 89.24 in³
O 65.97 in³
131.95 in³
197.92 in³
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
7 0

Answer:

197.92 in³

Step-by-step explanation:

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 3 in
  • h = 7 in

Substituting the given values into the formula:

\begin{aligned} \implies \textsf{Volume of a cylinder} & =\sf \pi (3)^2(7)\\ & = \sf 63 \pi\\ & = \sf 197.92\:in^3\:(nearest\:hundredth)\end{aligned}

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Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the
GuDViN [60]

Answer:

3

Step-by-step explanation:

A) 1

(B) 2

(C) 3

(D) 4

(E) 5

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of numbers / number of observation

sum of numbers = 3 x 7 = 21

Median is the number that is at the center or middle of a set of obervations

x +  9+ y = 21

x= lowest number

y = highest number

x + y = 21 - 9

x + y = 12

If x = 1 y = 11

if x = 2 y = 10

if x = 3 y = 9

if x = 4 y = 8

the first 3 are plausible and the median would still be 9 if x = 4, median would be 8

3 0
3 years ago
Find y, if x = 60.<br> A) 30° <br> B) 35° <br> C) 40° <br> D) 45°
MArishka [77]
The answer is 30°.
Rule: All three sides must add up to 180
°. 
Since A=60 and the side vertical to the angle which is 90° then side C would be C=90° and that adds up to 150°, so you can conclude that angle B is 30°.
I hope I helped!
7 0
3 years ago
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How do I do this -9 - 16m = 7? What are the steps?
nordsb [41]

m = -1

Step-by-step explanation:

-16m = 7 + 9

-16m = 16

m = 16 ÷ -16

m = -1

4 0
3 years ago
Examine the equation. − 1 3 ( 2 3 x + 5 ) = − 4 3 ( 1 2 x − 8 ) Which equation correctly uses the distributive property and prop
monitta

Answer:

<em>It is D.4/9x=37/3</em>

Step-by-step explanation:

i took the test

8 0
3 years ago
I just need to know how to solve this question.
Zarrin [17]

Answer:

x = 62

Step-by-step explanation:

x and 118 form a linear pair (added up, they both equal 180 degrees)

So, 180-118 = 62 which is the measurement of x

6 0
2 years ago
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