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AVprozaik [17]
3 years ago
10

An ice cream cone has a height of 16 centimeters and a diameter of 4 centimeters. What is the volume of ice cream that can be co

ntained within the cone? Use 3.14 for pi.
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

66.99 cm³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(2)²(16)/3 = 66.99 cm³

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Rectangle A has length 3 and width 5. Rectangle B has length 12 and
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Yes, the scale factor is 4.

Step-by-step explanation:

If you times the length, 3, and the width, 5, by 4, you'll get 12 as your length and 20 as your width.

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A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
mestny [16]

Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

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3 years ago
Choose the equation that represents the graph below:
ehidna [41]
Y=x+3 because when x=0 y=3
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