Question

A cylinder has a volume of 1800π ft3. If the height of the cylinder is 50 feet, what is the radius of the cylinder?

Answer 1

Answer:

Explanation:

Given :

• Volume of a cylinder is 1800π ft³.
• Height of a cylinder (h) = 50 ft.

To Find :

• The radius of the cylinder.

Solution :

Formula of "Volume of a cylinder" is given as ;

Volume of a cylinder = πr²h

=> 1800π = π × r² × 50

=> 1800π = r² × 50π

=> r² = 1800π/50π

=> r² = 1800/50

=> r² = 36

=> r = √36

=> r = 6 ft

Hence :

The radius of a cylinder is 6 ft.

Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Correct \: Question:- }}}$

A cylinder has a volume of 1800π ft³. If the height of the cylinder is 50ft, what is the radius of the cylinder?

$\large\underline{ \underline{ \sf \maltese{ \: To\:Find:- }}}$

Radius of the cylinder

$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

In the following question, we are given that the cylinder has a volume of 1800π ft³. Also, it is given that the height of the cylinder is 50 feet.

And we know that, Volume of cylinder = πr²h

Simply putting the values in the formula,

$\sf{\red{\pi r^2 h=1800\pi}}$

$\sf{\implies}{\red{r^2 \times50=1800}}$

$\sf{\implies}{\red{r^2=}}{\red{\dfrac{1800}{50}}}$

$\sf{\implies}{\red{r^2= 36}}$

$\sf{\implies}{\red{r= {\sqrt{36}}}}$

$\sf{\implies}{\green{r=6ft}}$

Hence, the radius of the cylinder is 6ft.

$\large\underline{ \underline{ \sf \maltese{ \: Diagram:- }}}$

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{6ft}}\put(6.7,17.5){\sf{50ft}}\end{picture}$

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