Math Problem: Axial Section Of The Cone - Question No. 14563

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Axial section of the cone The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square.

Final Answer:

V = 366.4297 cm3

Step-by-step explanation:

D:s = 2:3 S=312 cm2 2r:s = 2:3 r:s = 1:3 3r = s S = π r(r+s) S = π r(r+3r) S = 4 π r2 r=4πS=4⋅ 3.1416312≐4.9828 cm D=2⋅ r=2⋅ 4.9828≐9.9656 cm s=3⋅ r=3⋅ 4.9828≐14.9484 cm Verifying Solution: k=D/s=9.9656/14.9484=32≐0.6667 h=s2−r2=14.94842−4.98282≐14.0935 cm S1=π⋅ r2=3.1416⋅ 4.98282=78 cm2 V=31⋅ S1⋅ h=31⋅ 78⋅ 14.0935=366.4297 cm3 Try another example

Did you find an error or inaccuracy? Feel free to send us. Thank you! Text - write and change what you want: The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square. Your e-mail: Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it. Showing 1 comment: Aloha.emily il ike this app alot because it help's my friend and i 6 years ago Like Tips for related online calculators Check out our ratio calculator.Tip: Our volume units converter will help you convert volume units.See also our right triangle calculator.Calculation of an isosceles triangle.See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

algebra

rearrange variables

solid geometry

cone
surface area

planimetrics

Pythagorean theorem
right triangle
triangle

basic operations and concepts

ratio

Units of physical quantities

volume

Grade of the word problem

practice for 14 year olds
high school

We encourage you to watch this tutorial video on this math problem: video1 video2

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