A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inches. If copper costs 1.06$ per cubic inch, how much did the copper for the sculpture cost?


Use 3.14 for Pi, and do not round your answer.

Answer:

1332.8 ft^3

Step-by-step explanation:

separate the two figures into a flat cylinder and a flat box

Volume of a cylinder= [tex]\pi r^{2} h[/tex]

where radius= 3ft and height= 3ft

therefore

[tex]=\pi (3)^{2} (3) \\= 84.8 ft^{3}[/tex]

now for the flat box:

volume of box= [tex]w*l*h[/tex]

where width= 6ft, length= 16ft, height= 13ft

therefore

[tex]=(6)(16)(13)\\=1248 ft^{3}[/tex]

now add the volume of the cylinder and box together

[tex]84.8 + 1248\\= 1332.8 ft^{3}[/tex]

Answer:

205 mins

Step-by-step explanation:

Answer:

a = 12

Step-by-step explanation:

∠OPQ is a right angle.

[tex]5^{2} + a^{2} = 13^{2} \\25 + a^{2} = 169\\a^{2} = 144\\a = 12[/tex]

Answer:

1850is the correct answer

Answer:

[tex]A=54.95\ ft^2[/tex]

Step-by-step explanation:

The angle of shaded sector = 360-332 = 28°

The radius of sector, r = 15 ft

We need to find the area of the shaded sector. The formula for the area of the sector is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{28}{360}\times 3.14\times (15)^2\\\\A=54.95\ ft^2[/tex]

So, the area of the shaded sector is equal to [tex]54.95\ ft^2[/tex].

Answer:

6/35

Step-by-step explanation:

3/7 : 2 1/2

2 1/2 = (2*2+1) / 2 = 5/2

3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35

Answer:

Step-by-step explanation:

2.96, 3, 3.48, 7, 31

Answer:

31, 7, 3.48, 3, 2.96

Step-by-step explanation:

Look at the ones value first. 31 is the highest. Then 7. Between 3 and 3.48, think of 3 as 3.00 so therefore 3.48 is higher than 3.00

Answer:khcf

Step-by-step explanation:

guifk

Answer:

why you not listening to your teacher

Step-by-step explanation:

maybe she could help you

Answer:

The investor will earn $875 over the course of 3.5 years.

Step-by-step explanation:

Sounds like simple interest (not compound interest).

The appropriate formula is i = prt, which here is

i = $5000(0.05)(3.5) = $875

The investor will earn $875 over the course of 3.5 years.

Answer:

Solution:

Given,

Radius(r) = 11 ft

C = ?

Now,

[tex]c = 2\pi \: r[/tex]

C = 2 × 3.14 × 11

= 70 cm

again,

C = 360°

angle = 315°

So,

C = 70 cm

or, 360° = 70 cm

or 1° = 70/360°

or 1° = 7/36

again ,

area = 7/36 × 315°

= 61.25 cm

Answer:

Step-by-step explanation:

dfcfd

Answer:

52°

Step-by-step explanation:

tanФ = 31/24

Answer:

i think it should be around 30.975 :))

Step-by-step explanation:

lmk if this helps <3

Answer:

y = 4x + 1

Step-by-step explanation:

Find slope, rise over run

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{-3--7}{-1--2} = \frac{4}{1} = 4[/tex]

find y intercept by plugging in one of the coordinates in  y=mx+b, including m=4

-7 = 4(-2) + b

1 = b

Answer:

y = 4x + 1

Step-by-step explanation:

13 m ...?.........;;;;;;;;;

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

The best estimate for a kitchen sink is 20 liters from the options given.

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The average capacity of a kitchen sink = 32 liters.

The best estimate for the capacity of a kitchen sink.

= 20 liters to 40 liters

Thus,

20 liters can be our best estimate.

Learn more about expressions here:p

https://brainly.com/question/3118662

#SPJ2

Answer:

[tex]P(G\ then\ R)=0.045[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of  Green beads [tex]P_g=18[/tex]

Percentage of  Red beads    [tex]P_r=18[/tex]

Percentage of Purple beads [tex]P_p=18[/tex]

Therefore

Probability of choosing a Green bead is

 [tex]P(G)=0.18[/tex]

Probability of choosing a Red bead is

 [tex]P(R)=0.25[/tex]

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

 [tex]P(G\ then\ R)=0.18*0.25[/tex]

 [tex]P(G\ then\ R)=0.045[/tex]

Answer and Step-by-step explanation:

This triangle is a right triangle.

- Acute angles are angles that have a degree that is less than 90 degrees.

- Obtuse angles are angles that have a degree that is more than 90 degrees.

- Right angles are angles that are 90 degrees.

It has 1 angle that is 90 degrees, so it is a right triangle.

#teamtrees #PAW (Plant And Water)

Answer:

all angles add up to 360 degrees

Step-by-step explanation:

Answer:

The times sign

Step-by-step explanation:

Answer:

6 x 1 = 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

24.8 x 7 = 173.6

Answer:

How are you? 1

Step-by-step explanation:

Answer:

261 cm²

Step-by-step explanation:

To find the surface area of a square pyramid, you must first recognize all of the shapes.

There are four triangles and one square.

The triangles have a base of 9 and a height of 10.

[tex]9*10=90[/tex]

Multiply the product by 1/2.

[tex]90*1/2 = 45[/tex]

There are four triangles.

[tex]45*4=180[/tex]

The area of all three triangles is 180 centimeters; the area of a single triangle is 45 centimeters.

There square has sides of 9 centimeters.

[tex]9*9=81[/tex]

The area of the square is 81 centimeters.

Lastly, we add the areas of the shapes.

[tex]45+45+45+45+81 = 261.[/tex]

Therefore, the surface area of this square prism is 261 cm².

You can use this layout to find the surface area of a square pyramid.

Answer:

52 miles per hour

Step-by-step explanation:

Answer:

0 - 9 = 1

10 - 19 = 2

20 - 29 = 2

30 - 39 = 4

40 - 49 = 6

Have a great day! :)