Question 1181773


A vertical cone has base diameter 16cm and slant height 17cm. 

Find the 
(1) curved surface area 

The curved surface area of the cone with slant height and diameter can be found by using the formula {{{S = pi(d/2)l}}}, where {{{d}}} is the diameter and {{{l}}} is slant height.

given:
{{{d=16cm}}}
 {{{l=17cm}}}
{{{S = pi(16cm/2)*17cm}}}
{{{S = pi*8cm*17cm}}}
{{{S = 136pi*cm^2}}}

approximately {{{S = 427.26cm^2}}}


(ii)volume of the cone

The formula for the volume of a cone is 

{{{V=(1/3)h*pi*r^2 }}}

{{{d=16cm}}}=>{{{r=8cm}}}
{{{l=17cm}}}

{{{h=sqrt(17^2-8^2)}}}
{{{h=sqrt(225)}}}
{{{h=15}}}

{{{V=(1/3)15cm*pi*(8cm)^2 }}}
{{{V=5cm*pi*64cm^2 }}}
{{{V=320pi*cm^3 }}}

approximately {{{V=1005.31cm^3 }}}