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gtnhenbr [62]
3 years ago
15

Joan incorrectly finds the volume of a cone with a radius of 4 cm and a height of 6 cm. She thinks the volume is 301.44 cm3. Her

work is shown below. Find and correct Joan’s mistake. Then, find the correct volume of the cone. Use 3.14 for π.
Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

Correct volume = 100.48 cm³

Step-by-step explanation:

The formula for finding the volume of a cone is:

V = πr²(h/3)

r - Radius

h - Height

V - Volume

To find the correct volume of the cone, we just need to input the measurements into their respective places in the formula and solve. Your work should look similar to the following:

V = πr²(h/3)

V = π(4)²(6/3)

V = π(16)(6/3)

V = π(16)(2)

V = π(32)

V = 100.48 cm³

(You can use the work shown above to find Joan's mistake in her work.)

~Hope this Helps!~

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Step-by-step explanation:

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What is the answer for number 8 and pls give step by step
Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

<u>1st trapezoid:</u>

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6

<u>2nd trapezoid:</u>

b_1 = 3x

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Putting into formula, we get:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x

Let's equate both equations for area and find x first:

4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

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Answer:

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Step-by-step explanation:

=> 78% makes:

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<u><em>In simplest form:</em></u>

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3 0
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Step-by-step explanation:

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The expression:

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Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

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