Calculate 3019

The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone.

Correct answer:

S =  65.3035 cm2
V =  33.9837 cm3

Step-by-step explanation:

h=5 cm r=h/tan63°=tan7π/20=2.54763 cm s=h/sin63°=sin7π/20=5.61163 cm P=π r2=3.1416 2.5476220.3902 cm2 S=P+π r s=20.3902+3.1416 2.5476 5.6116 cm2=65.3035 cm2
V=1/3 P h=1/3 20.3902 5=33.9837 cm3

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