Find the missing number 1:2 = 3: ___

A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the

xxMikexx [17]

Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

$V = \pi r^2h + \frac{1}{3} \pi rH$

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

$V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3$

The volume of the silo is 5127079.21 cubic feet.

3 0

3 years ago

A line passes through the point (4,-2) and has a slope of 1/2 what is the value of a if the point (-4,a) is also on the line

Slav-nsk [51]

Answer: The value of a is -6.

Step-by-step explanation:

To do this we need to find the y-intercept first.

-2= 4(1/2) + b

-2=2+ b

-2 -2

b= -4 so now the y-intercept is -4 so we will now have the equation y= 1/2x -4

so now put -4 into the equation for x and solve for y.

y= 1/2(-4) -4

y = -6

3 0

2 years ago

Suppose that g(x) = f(x) - 4. Which statement best compares the graph of

ArbitrLikvidat [17]

Answer:

The graph of g(x) is shifted 4 units down.

6 0

3 years ago

Evaluate and write as an integer<br><br> (-6)^2

IceJOKER [234]

Answer:

36

Step-by-step explanation:

(-6)² = (-6) × (-6)

= +36

8 0

3 years ago

If you know the diameter of a circle,

arsen [322]

Step-by-step explanation:

a. Area of a circle = πr², where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = $\frac{1}{2}$ diameter.

Step 2: substitute radius into the formula.

Area of a circle = π( $\frac{1}{2}$ d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14( $\frac{1}{2}$ d)²

Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = $\frac{1}{2}$ diameter.

Step 2: substitute radius into the formula.

C = 2π( $\frac{1}{2}$ d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)( $\frac{1}{2}$ d)

Step 4: substitute d into the formula, then we can solve its circumference.

6 0

2 years ago

Find the missing number 1:2 = 3: ____