Surface area and volume

Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm.

Final Answer:

S =  60.3186 cm2
V =  15.0796 cm3

Step-by-step explanation:

D=60 mm→ cm=60:10  cm=6 cm s=3.4 cm  r=D/2=6/2=3 cm h=s2−r2​=3.42−32​=58​=1.6 cm  S1​=π⋅ r2=3.1416⋅ 32≐28.2743 cm2 S2​=π⋅ r⋅ s=3.1416⋅ 3⋅ 3.4≐32.0442  S=S1​+S2​=28.2743+32.0442=60.3186 cm2
V=31​⋅ S1​⋅ h=31​⋅ 28.2743⋅ 1.6=15.0796 cm3

Try another example


Did you find an error or inaccuracy? Feel free to send us. Thank you!







Tips for related online calculators
See also our right triangle calculator.
Tip: Our volume units converter will help you convert volume units.
See also our trigonometric triangle calculator.

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

algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: