Question

the radius and height of a cylinder are in ratio 3:2 and its volume is 12936 centimetre cube find it height​

Answer 1

Answer:

Total surface area of cylinder is given by 3080 square centimeter.

Step-by-step explanation:

If the height of cylinder is h, then the radius of the cylinder is

r=\frac{2}{3}hr=

3

2

h

Volume of the cylinder is given by

\begin{gathered}V=\pi r^2h\\12936=\frac{22}{7}(\frac{2}{3}h)^2\times h\\\\h^3=9261\\h=21cm\end{gathered}

V=πr

2

h

12936=

7

22

(

3

2

h)

2

×h

h

3

=9261

h=21cm

The radius is

\begin{gathered}r=\frac{2}{3}(21)\\\\r=14cm\end{gathered}

r=

3

2

(21)

r=14cm

Total surface area of cylinder is given by

\begin{gathered}A=2\pi rh +2\pi r^2\\\\A=2\cdot\frac{22}{7}\cdot14\cdot21+2\cdot\frac{22}{7}\cdot(14)^2\\\\A=3080cm^2\end{gathered}

A=2πrh+2πr

2

A=2⋅

7

22

⋅14⋅21+2⋅

7

22

⋅(14)

2

A=3080cm

2