Answer:
The height of cylinder is: h = 80.07 cm
The diameter of cylinder is: d = 3.5 cm
Step-by-step explanation:
Curved surface area of cylinder = 880 cm^2
Volume of cylinder = 770 cm^3
We need to find its diameter and height.
The formula used are:
[tex]Curved\: surface\: area=2\pi rh\\Volume=\pi r^2h[/tex]
If we divide volume by curved surface, we can find radius
[tex]\frac{Volume}{Curved\: surface\: area}=\frac{\pi r^2h}{2\pi rh} \\\frac{770}{880}=\frac{r}{2}\\0.875= \frac{r}{2}\\=> r= 0.875\times 2\\r=1.75[/tex]
So, we get radius r = 1.75
Now, we can find height using curve surface area formula:
[tex]Curved\: surface\: area=2\pi rh\\880=2(3.14)(1.75)h\\h=\frac{880}{10.99}\\h=80.07 \:cm[/tex]
So, the height of cylinder is: h=80.07 cm
Now finding diameter using formula: [tex]d=2r[/tex]
Putting value of r in above formula:
[tex]d=2r\\d=2(1.75)\\d=3.5\:cm\\[/tex]
So, the diameter of cylinder is: d = 3.5 cm
