Question

Find the volume of the cone. d= 36 in= 30

Answer 1

Given:-

• 
  `\textsf{Diameter ( d ) = 36}`

`\:`

• 
  `\textsf{Height ( h ) = 30in}`

`\:`

To find:-

• 
  `\textsf{The volume of the cone = ?}`

`\:`

By using formula:-

• 
  `\boxed{ \sf{volume = ( (1)/(12) ) πd²h}}`

`\:`

Solution:-

• 
  `\sf \: volume = ( (1)/(12) ) πd²h`

`\:`

• 
  `\sf \: = ( (1)/(12) ) π( 36 )² × 30`

`\:`

• 
  `\sf{= ( (1)/(12) ) π( 1296 ) × 30}`

`\:`

• 
  `\sf \: = ( \frac{1}{ \cancel{12}}) \cancel{ 38880}π`

`\:`

• 
  `\boxed{\sf{ \purple{= 3240π }}}`

`\:`

The value of the volume of the cone is 3240π

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)