Question

Find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm

Answer 1

Question:

find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm

Required diagram :

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{ 70 \: cm}}\put(9,17.5){\sf{h}}\end{picture}$

Solution :

For a cylinder having a radius r and a height h ;

Volume Of Cylinder :

• π r² .

Here , the radius of the cylinder is given as 70 cm and the volume is 1.54 m³ .

Converting ;

• 1 m³ = 1 × 10⁶ cm³ .
• > 1.54 × 10⁶ cm³ .
• > 1540000 cm ³.
• > π r² h = 1540000
• > 22/7 × 70 × 70 × h = 1540000
• > 22 × 10 × 70 h = 1540000
• > 15400 h = 1540000
• > h = 100 cm = 1 m.

The height of the cylinder is 100cm.=1m.