Surface and volume

Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.

Correct answer:

S =  1098.8408 m2
V =  2397.2302 m3

Step-by-step explanation:

o=62.8 m s=25 m o = 2 π r  r=o/(2π)=62.8/(2⋅ 3.1416)≐9.9949 m  S1​=π⋅ r2=3.1416⋅ 9.99492≐313.8408  s2 = h2+r2 h=s2−r2​=252−9.99492​≐22.9151 m  S2​=π⋅ r⋅ s=3.1416⋅ 9.9949⋅ 25=785  S=S1​+S2​=313.8408+785=1098.8408 m2
V=31​⋅ S1​⋅ h=31​⋅ 313.8408⋅ 22.9151=2397.2302 m3

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