Ask question

Ask question

All categories

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.

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

You might be interested in

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

3 years ago