Question

find the height of cylinder of whose radius is 7cm and surface area is 968cm²​

Answer 1

Answer:

22.02Cm

Step-by-step explanation:

hope it helps,good luck

Answer 2

⇒ Given:

Radius of a cylinder = 7 cm

Surface area [TSA] = 968 cm²

⇒ To Find:

The height of the cylinder

⇒ Formula to be used:

TSA of cylinder = 2πr (r + h)

⇒ Solution:

We know that:

Radius of the cylinder = 7 cm

Given TSA = 968 cm² ----- (1)

Formula to find TSA = 2πr (r + h) ----- (2)

Combining equations (1) and (2):

2πr (r + h) = 968 cm²

Substituting the value of radius and π in the equation:

$\sf{=2\times\dfrac{22}{7}\times7(7+h)=968\:cm^2}$

$\sf{=44\times(7+h)=968\:cm^2}$

$\sf{308\times44h=968\:cm^2}$

$\sf{44h=660}$

$\sf{h=15\:cm}$

Hence the height of the given cylinder is 15 cm.

Knowledge Bytes:

→ Cylinder:

A cylinder is a circular 3D figure with 2 bases as circles and the the part in between them as a curved rectangle. Hence the total no. of faces in a cylinder is 3. It has 2 curved edges and also has 0 vertex.

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{r}}\put(9,17.5){\sf{h}}\end{picture}$

Please check the attachment to see the latex figure.

→ Formulae related to cylinder:

CSA = 2πrh

TSA = 2πr (r +h)

Volume = πr²h