Calculate the volume and surface area of ​​the cone with a diameter of the base d=15 cm and the side of the cone with the base has angle 52°.

Correct answer:

V =  565.5 cm3
S =  463.7 cm2

Step-by-step explanation:

D=15 cm r=D/2=15/2=215=7.5 cm S1=π r2=π 2152=3.1416 7.52176.7146 cm2 A=52  h=r tanA=r tan52° =7.5 tan52° =7.5 1.279942=9.59956 cm V=31 S1 h=31 176.7146 9.5996=565.5 cm3
s=h2+r2=9.59962+7.5212.182 cm S=S1+π r s=S1+π 215 s=176.7146+3.1416 7.5 12.182=463.7 cm2

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