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Agata [3.3K]
2 years ago
6

Please help thanks if you do

Mathematics
2 answers:
kozerog [31]2 years ago
8 0
Answer answer the phone question I do it with you
Sonbull [250]2 years ago
5 0

Answer:

294 cubic inches

Step-by-step explanation:

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
How do I factor: x to the third minus 3x squared plus 4x minus 2
Nataliya [291]

Answer:

(x² − 2x + 2) (x − 1)

Step-by-step explanation:

Use grouping.

x³ − 3x² + 4x − 2

x³ − 3x² + 2x + 2x − 2

x (x² − 3x + 2) + 2 (x − 1)

x (x − 2) (x − 1) + 2 (x − 1)

(x (x − 2) + 2) (x − 1)

(x² − 2x + 2) (x − 1)

7 0
3 years ago
Read 2 more answers
Which snows the decimals 43.6,41.92and 43.71 greatest to least?
Serjik [45]
43.71, 43.6, 41.92 greatest to least
8 0
3 years ago
Read 2 more answers
The measure of an angle is 71°. What is the measure of its supplementary angle?
SpyIntel [72]

Supplementary angles add up to 180°

-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°

5 0
2 years ago
What percent of 80 is 25
JulsSmile [24]

Answer: 31.25%

Step-by-step explanation: To answer the question <em>what percent of 80 is 25</em>, we translate the question into an equation.

So we have "what percent" that's x, "of 80" means times 80, "is 25" = 25.

Now to solve for <em>x</em>, since <em>x</em> is being multiplied by 80, we need to divide by 80 on both sides of the equation. On the left side of the equation the 80's cancel and we have <em>x</em> and on the right side of the equation, we have 25 ÷ 80 which gives us 0<em>.</em>3125. Now, remember that we want to right our answer as a percent so to write 0.3125 as a percent, we move the decimal point 2 places to the right and we get 31.25%.

Therefore, 31.25% of 80 is 25.

8 0
3 years ago
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