The diagram 2

The diagram shows a cone with a slant height of 10.5cm. If the curved surface area of the cone is 115.5 cm2. Calculate to correct three significant figures:

*Base Radius
*Volume of the cone

Correct answer:

r =  3.5014 cm
h =  9.899 cm
V =  127.0883 cm3

Step-by-step explanation:

s=10.5 cm S1=115.5 cm2  S1 = π r s  r=π sS1=3.1416 10.5115.5=3.5014 cm
s2 = h2 + r2  h=s2r2=10.523.50142=9.899 cm
S2=π r2=3.1416 3.5014238.5155 cm2  V=31 S2 h=31 38.5155 9.899=127.0883 cm3

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