Question

Please find the value of t

Answer 1

Required Answer:-

Given picture is a Cylinder.

• Where radius r=tcm
• Height =h=7cm
• Volume =84cm^3

As we know that in a Cylinder

`{\boxed{\sf Volume ={\pi}r^2h}}`

• Substitute the values

`{:}\longrightarrow`
`\sf {\frac {22}{{\cancel{7}}}}* t^2*{\cancel{7}}=84`

`{:}\longrightarrow`
`\sf 22×t^2=84`

`{:}\longrightarrow`
`\sf 22t^2=84`

`{:}\longrightarrow`
`\sf t^2={\frac {84}{22}}`

`{:}\longrightarrow`
`\sf t^2=3.81`

`{:}\longrightarrow`
`\sf t={\sqrt {3.81}}`

`{:}\longrightarrow`
`\sf t=1.95`

`{:}\longrightarrow`
`\sf t=2cm (Approx)`