The curved surface area of the cylinder is 1760cm^2.and its volume is 12320cm^3.Find its height.
G.t csa= 1760,
csa=2pi*r*h
2pi*r*h=1760
2*22/7*rh=1760
rh=1760*7/44
rh=280.....(1).
Also given that volume v= 12320
pi*r^2*h=12320
22/7*r*rh=12320
22/7*r*280=12320
r*6160/7=12320
r=12320*7/6160
r=14
sub. The value of 'r'
csa=1760
2pi*r*h=1760
2*22*14/7*h=1760
2*22*2*=1760
88*h=1760
h=1760/88
h=20
The curved surface area of cylinder is 1760cm.square and its volume is 12320cm.cube .Find its height
Ntg
V = As*h = 1760 * h = 12,320 cm^3
Solve for h.
Csa=1760. CSA=2pirh 1760=2pirh.
How do I get it's length
To find the height of a cylinder given its curved surface area and volume, we can use the following formulas:
Curved Surface Area (CSA) of a cylinder = 2πrh
Volume of a cylinder = πr^2h
Given:
CSA = 1760 cm²
Volume = 12320 cm³
We can rearrange the CSA formula to solve for the height (h):
CSA = 2πrh
Divide both sides by 2πr:
CSA / (2πr) = h
Now, let's substitute the given values into the formula:
h = 1760 / (2πr)
To find the height, we need to determine the value of r (the radius).
The formula for the volume of a cylinder can be rearranged to solve for the radius:
Volume = πr²h
Divide both sides by πh:
Volume / (πh) = r²
Now, let's substitute the given values into the formula:
r² = 12320 / (πh)
We need to know the value of h to calculate the radius, and then we can substitute the radius back into the formula to find the height.
Unfortunately, without knowing the value for either the radius or the height, it is not possible to determine the height of the cylinder with the given information. We would need more information, such as the radius or another equation relating the height and radius, to find the height of the cylinder.