the volume of a cylinder is 6538 cubic metres and its height is 28 cm. find its radius and the curved surface area.
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Answers
The radius of the cylinder is 8.5 cm.
The curved surface area of the cylinder is 1496 centimeter square.
Step-by-step explanation:
Given : Volume of cylinder is 6358 cm cube and its height is 28 cm.
To find : Its radius and curved surface area?
Solution :
Volume of the cylinder is V=\pi r^2 hV=πr2h
Where, V is the volume = 6358 cm cube
h is the height = 28 cm
r is the radius
Substitute the values,
6358=\frac{22}{7}\times r^2\times 286358=722×r2×28
6358=22\times 4\times r^26358=22×4×r2
r^2=\frac{6358}{88}r2=886358
r=\sqrt{72.25}r=72.25
r=8.5 cmr=8.5cm
The radius of the cylinder is 8.5 cm.
The curved surface area of the cylinder is CSA=2\pi rhCSA=2πrh
r=8.5cm , h=28 cm
Substitute the value,
CSA=2\times \frac{22}{7}\times 8.5\times 28CSA=2×722×8.5×28
CSA=2\times 22\times 8.5\times 4CSA=2×22×8.5×4
CSA=1496cm^2CSA=1496cm2
The curved surface area of the cylinder is 1496 centimeter square.
h=0.28m
V=6538m³
Using the formula
V=πr2h
Solving forr
r=V
πh=6538
π·0.28≈86.21216m