Jane incorrectly finds the volume of the cone using the following work. Explain Jan’s error and find the correct volume AND surface area. Show all work
Answers
Answer:
V=39.25. the height is not 6.25, 6.25 is the slope. you have to use Pythagoras theorem to find the height, then you can find the volume.
The surface area of the cone shown in the figure, for which Jane incorrectly finds the volume, is 74.33 cm².
What is of volume of cone?
Volume of cones the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
Volume of cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The height of the cone is 6.5 cm and the radius is 2.5 cm. Put the values in the above formula,
[tex]V=\dfrac{1}{3}\pi r^2h\\V=\dfrac{1}{3}\pi (2.5)^2(6.5)\\V=\dfrac{1}{3}\pi (6.25)^2(6.5)\\V=\dfrac{40.625\pi }{3}\\V\approx42.5\rm\;cm^3[/tex]
The surface area of cone can be find out by the following formula,
[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]
Again put the values in this formula,
[tex]A=\pi \times2.5(2.5+\sqrt{(6.5)^2+(2.5)^2})\\A=\pi \times2.5(2.5+\sqrt{48.5})\\A=\pi \times2.5(2.5+6.96)\\A=\pi \times2.5(9.46)\\A=74.33\rm\; cm^2[/tex]
Thus, the surface area of the cone shown in the figure, for which Jane incorrectly finds the volume, is 74.33 cm².
Learn more about the volume of cone here;
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
-1/2(10 + 1/4)
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Step-by-step explanation:
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Answers
Answer
Let the first no. be 2x
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Answer:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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(*) multiply sign
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Answers
Answer:
Width = 8 feet
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Step-by-step explanation:
Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.
Step
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Answer:
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Answer:
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Step-by-step explanation:
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Answer and Step-by-step explanation:
Definitions:
Obtuse - Angles that are greater than 90 degrees, but shorter than 180 degrees.
Acute - Angles that are less than 90 degrees but greater than 0 degrees.
Right - Angles that are exactly 90 degrees.
1. Obtuse
2. Right
3. Acute
4. Right
5. Obtuse
6. Acute
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8. Acute
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Answers
Answer:
0.9727
Step-by-step explanation:
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