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mart [117]
3 years ago
12

Find the volume of the cone. Round your answer to the nearest tenth.

Mathematics
2 answers:
Kamila [148]3 years ago
8 0

Hello!

To find the volume of a cone, use the formula: V = 1/3πr²h.

In the photo, the height is 6 units, and the diameter is 8 units. Since the radius is half the diameter, then the radius is 4 units.

V = 1/3π(4)²(6)

V = 1/3(6)(16)π

V = 2(16)π

V = 32π

V = 100.5309... This can be rounded to about 100.5.

Therefore, the volume of this cone, is about 100.5 units³.

grigory [225]3 years ago
6 0

Hello!

To find the volume of a cone, use the formula: V = 1/3πr²h.

In the photo, the height is 6 units, and the diameter is 8 units. Since the radius is half the diameter, then the radius is 4 units.

V = 1/3π(4)²(6)

V = 1/3(6)(16)π

V = 2(16)π

V = 32π

V = 100.5309... This can be rounded to about 100.5.

Therefore, the volume of this cone, is about 100.5 units³.

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you have a large tank filled with 175 gallons of water the tank springs a leak and water is pouring out at rate of 5 gallons per
ExtremeBDS [4]
X is the amount of minutes

Amount of Water=175-5x

y=175-5x
3 0
3 years ago
20 m<br> 12 m<br> 34 m <br><br> Find the surface area of this figure
Ad libitum [116K]

Surface area of the fig is 2350.9 sq m (approx).

Step-by-step explanation:

Given,

Diameter = 34 m

so, radius (r) = 17 m

Height of the cylinder (h) = 12 m

Slant height of the cone (l) = 20 m

To find the surface area of the fig

Surface area of the  fig = surface area of cylinder + surface area of cone

Formula

Surface area of cylinder = 2πrh

Surface area of cone = πrl

So,

Surface area of cylinder = 2π×17×12 sq m = 408π sq m

Surface area of cone = π×17×20 = 340π sq m

Surface area of the  fig = 408π+340π sq m = 748π sq m

= 2350.9 sq m (approx)

8 0
4 years ago
Steve bought a new graduated cylinder for his chemistry class.It holds 1,058.75 of liquid. If the cylinder has a radius of 5.5 c
patriot [66]

Answer:

35 cm

Step-by-step explanation:

volume of cylinder = πr²h

πr²h = 1058.75π

Divide both sides by π.

r²h = 1058.75 cm³

r = 5.5 cm

Substitute r² with (5.5 cm)².

(5.5 cm)²h = 1058.75 cm³

h = 1058.75/30.25 cm

h = 35 cm

4 0
3 years ago
Read 2 more answers
You make $ 304 a day on a job. What will you receive for working frac(1,16) of the day?
Nitella [24]
304 (pay per day) * 1/6 (amount of the day you worked).
304 * 1/6 (0.1666666666) = 50 and 2/3 or 50.666666666
5 0
3 years ago
HELP ASAP
Tju [1.3M]

Answer:

y = \displaystyle \frac{5}{2}\, x + 54.

(Equivalently, 5\, x - 2\, y = 108.)

Step-by-step explanation:

Rewrite the equation of the line 2\, x + 5\, y = 10 in the slope-intercept form y = m\, x + b to find the slope m.

5\, y = -2\, x + 10.

\displaystyle y = -\frac{2}{5}\, x + 2.

Therefore, the slope of the line 2\, x + 5\, y = 10 is (-2 / 5).

Let m_1 and m_2 denote the slope of two lines on a cartesian plane. If these two lines are perpendicular to one another, then m_1 \cdot m_2 = (-1).

In this question, the slope of the first line was already found m_1 = (-2 / 5). Solve m_1 \cdot m_2 = (-1) for the slope m_2 of the unknown line:

\begin{aligned}m_2 &= \frac{-1}{m_1} = \frac{-1}{-2 / 5} = \frac{5}{2}\end{aligned}.

The following information are thus available for the requested line:

  • The slope of this line is \displaystyle m = \frac{5}{2}.
  • This line contains the point (x_0,\, y_0) = (-20,\, 4).

Hence, the point-slope form (y - y_0) = m\, (x - x_0) would be a possible choice for the equation of this line:

\displaystyle y - 4 = \frac{5}{2}\, (x - (-20)).

Simplify to obtain the slope-intercept form equation of this line:

\displaystyle y = \frac{5}{2}\, x + 54.

Equivalently:

5\, x - 2\, y = 108.

7 0
3 years ago
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