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valina [46]
3 years ago
7

The cylinder and the sphere below have the same radius and the same volume. What is the

Mathematics
1 answer:
oee [108]3 years ago
7 0
The answer would be 8 or A

Step by Step Explanation:

First you have to find the volume of the Sphere.

Set the problem up like this: V = Volume
V= 4/3 • pi (3.14) • 6(3)
= 904.32

Now you have to volume and as stated the volume and radius is the same for both the cylinder and sphere. So now you plug in the answers for the letters.
Formula for (V) Volume of Cylinder is:
V= Pi (3.14) • R (radius) (2) • H (height)
So plug in for what you know
904.32 = 3.14 • 6(2) • H
904.32 = 3.14 • 36 • H
113.04/904.32 = 113.04 • H/113.04
8 = H

The answer is A
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The A&M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a
Bond [772]

Answer:

Step-by-step explanation:

A) Demand per month= 40 cars

Annual Demand (D)= 12*40 = 480

Fixed Cost per order (K)= 15

Holding Cost= 20% of cost= 60 *0.2 = 12

a. Economic Order Quantity=

Q^{*}={\sqrt {{\frac {2DK}{h}}}}

= √(2*480*15)/12

=34.64 ~ 35

Total Cost =P*D+K(D/EOQ)+h(EOQ/2) P= Cost per unit

= 60*480+ 15(480/35) + 12(35/2)

= 28800+ 205.71+ 210

=$29215.71

B). Backorder Cost (b)= $45

Qbo= Q* × √( b+h/ h)

= 35*√(12+45/ 45)

= 35* 1.12

=39.28 ~ 39

Shortage (S)= Qbo * (K/K+b)

= 39* (15/15+45)

= 39* 0.25

= 9.75

Total Cost Minimum=( bS2/ 2Qbo) + P (Qbo- S)2/2Qbo + K(D/Qbo)

=45* 9.752 / 2* 392 + 60 (39-9.75)2/ 2* 392 + 15 ( 480/39)

= 1.40+ 21.9.+ 184.61

=$207.91

C)Length of backorder days (d) = Demand ÷ amount of working days

d = 480 ÷ 300

d = 1.6

Calculate the backorders as the maximum number of backorders divided by the demand per day

s/d = 9.75/1.6 = 6.09 days (answer)

D) Calculate the difference in total between not using backorder:

$207.85 + $207.85 - 207.91 = $207.79

The saving in using backorder is $207.79.

Therefore I would recommend using a backorder

6 0
2 years ago
a boy is 26 years younger than his father in 3 years time his age will be one third his father's age. Find the boy's present age
larisa [96]

Answer:

61 years old

Step-by-step explanation:

26 plus 3 is 29 and 29 times 3 is 87 and 87 minus 29 is 61

3 0
2 years ago
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The cost of a car, in dollars, t years after its purchase is $20,000 - $3,000t. Which statement is correct? please explain too.
xeze [42]
We start with 20,000. Every year t, we decrease 3,000. Thus, each year the car depreciates by 3,000 every year.

B
5 0
3 years ago
HELP I NEED HELP ASAP
hram777 [196]

Answer:A??

Step-by-step explanation:

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2 years ago
What is the area of this trapezoid?
aev [14]

Answer:

The area is 80

Step-by-step explanation:

rectangle in the middle; 24

both triangles on the side; 56

In total; 80

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2 years ago
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