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Anon25 [30]
3 years ago
11

The volume of a cylinder is 81 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explan

ation and proof for your answer.
Mathematics
1 answer:
expeople1 [14]3 years ago
8 0
V ( cylinder ) = r² π h
V ( cone ) = 1/3 r² π h
A cone that fits exactly inside the cylinder has the volume:
V ( cone ) = 1/3 V ( cylinder = 1/3 · 81 = 27 ft³
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You go shopping and spend $264 on shirts and shorts. You purchase a total of 9 items. Each shirt costs $24 and each pair of shor
Kisachek [45]

Answer:

3 shirts, 6 shorts

Step-by-step explanation:

A total of $264 is spent during shopping on shirts and shorts

Each shirt costs $24

Each shorts cost $32

Therefore the quantity of shirts and shorts bought can be calculated as follows

24× 3= 72

32×6= 192

192+72= 264

Hence 3 shirts and 6 shorts were bought

8 0
3 years ago
Jack's house is located at the origin (0,0). He walks 2 blocks right. Then, he walks 6 blocks up. Finally, he walks 3 blocks rig
attashe74 [19]

Answer: 5, 6

Step-by-step explanation:

0 + 2 = 2

2 , 0

0 + 6 = 6

2, 6

2 + 3 = 5

5, 6

5 0
2 years ago
A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue
stepladder [879]

Answer:

9 right-handed gloves and 3 left-handed gloves were sold.

Step-by-step explanation:

Given:  In one month, 12 gloves were sold for a total revenue of \$561.

            right-handed gloves cost \$45 and left-handed gloves cost \$52.

To find: How much of each type of gloves did they sell?

Solution: Let they sell x  right-handed gloves, and y left-handed gloves.

Now, cost of each right-handed gloves =\$45

cost of each left-handed gloves =\$52

Total revenue =\$561

So, we get

45x+52y=561\:\:\:...(i)

Also,  in a month 12 gloves were sold.

So, we get

x+y=12\:\:\:...(ii)

Now, from (ii) we get, x=12-y.

Putting x=12-y in equation (i), we get

45(12-y)+52y=561

\implies 540-45y+52y=561

\implies7y=561-540

\implies7y=21

\implies y=\frac{21}{7}

\implies y=3

Now, putting y=3 in equation (ii), we get

x+3=12

\implies x=12-3

\implies x=9

Hence, 9 right-handed gloves and 3 left-handed gloves were sold.

7 0
3 years ago
What is the slope of the line that passes through the points (-2, 5) and (1, 4)
egoroff_w [7]
The slope of the line is delta y / delta x, so the answer is: -1/3. 
7 0
3 years ago
The family size box of Lucky Charms is 19.3 oz for $3.64.
docker41 [41]
I honestly don’t know
8 0
2 years ago
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