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3 years ago

Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.14 for T.

Mathematics

1 answer:

Harman [31]3 years ago

6 0

Answer:

56.52 cm³

Step-by-step explanation:

Use the cone volume formula, V = $\pi$ r² $\frac{h}{3}$

If the diameter of the cone is 6 cm, then the radius is 3 cm.

Plug in 3.14 as pi, 3 as the radius, and 6 as the height into the equation:

V = (3.14)(3²) $\frac{6}{3}$

V = (3.14)(9)(2)

V = 56.52

So, the volume of the cone is 56.52 cm³

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03 Fill in the Blank Text Simplify the following expression: 14a + 3(a + 4b) - 2b

defon

Answer:

17a+10b

Step-by-step explanation:

hope this work have a nice day

5 0

1 year ago

Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).

Romashka-Z-Leto [24]

The equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3) in slope intercept form is $y = \frac{-1}{5}x + \frac{16}{5}$

<h3>Solution:</h3>

Given that a line is parallel to line x + 5y = 10 and passes through the point (1, 3)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c -------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

Given equation of line is x + 5y = 10

$5y = -x + 10\\\\y = \frac{-1}{5}x + \frac{10}{5}\\\\y = \frac{-1}{5}x + 2$

On comparing the above equation of line with slope intercept form,

$m = \frac{-1}{5}$

We know that slopes of parallel lines are equal

So the slope of line parallel to given line is also $m = \frac{-1}{5}$

Let us find the equation of line with slope m = -1/5 and passes through the point (1, 3)

$\text {substitute } m=\frac{-1}{5} \text { and }(x, y)=(1,3) \text { in eqn } 1$

$3 = \frac{-1}{5} \times 1 + c\\\\15 = -1 + 5c\\\\16 = 5c\\\\c = \frac{16}{5}$

Thus the required equation is:

$\text {substitute } m=\frac{-1}{5} \text { and } c=\frac{16}{5} \text { in eqn } 1$

$y = \frac{-1}{5}x + \frac{16}{5}$

Thus the required equation of line is found

3 0

3 years ago

Hana is putting the fruit she brought into bowls. She bought 8 melons,12 pears,and 24 apples. She puts the same number of pieces

Eddi Din [679]

The correct answer is:

If she wants the same number of pieces of each kind of fruit in each bowl (same number of melons, same number of pears, and same number of apples in each bowl), then she can put 11 pieces in each of 4 bowls.

Explanation:

To answer this, we find the greatest common factor (GCF) of all 3 numbers. To do this, we find the prime factorization of 8, 12 and 24:

8 = 4(2)

4 = 2(2)

→8 = 2(2)(2)

12 = 4(3)

4 = 2(2)

→12 = 2(2)(3)

24 = 4(6)

4 = 2(2)

6 = 2(3)

→24 = 2(2)(2)(3)

The GCF is made of all of the common factors. The factors common to all 3 numbers are 2 and 2; 2(2) = 4 for the GCF.

This means we can use 4 bowls.

She has a total of 8+12+24 = 44 pieces of fruit; 44/4 = 11. She would have 11 pieces of fruit in each bowl.

4 0

3 years ago

Read 2 more answers

Andy and Christopher are measuring a liquid solution using graduated cylinders. Andy uses 3.5liters of the liquid solution, and

klasskru [66]

Answer:

129:175

Step-by-step explanation:

Andy and Christopher are measuring a liquid solution using a graduated cylinder

Andy uses 3.5 liters of the liquid solution

3.5 liters to mililiters

= 3.5 ×1000

= 3500 mililiters

Christopher uses 2580 mililiters

Therefore the ratio of Christopher's measurement to Andy's measurement can be calculated as follows

= 2580/3500

= 129 : 175

Hence the ratio of Christopher's measurement to Andy's measurement is 129:175

5 0

3 years ago

Type the expression that results from the following series of steps: Start with x and add 3.

Lera25 [3.4K]

I’m assuming it would just be x+3

7 0

3 years ago