A cylindrical vessel without a lid is made from a sheet of metal . Find the area of the metal required if the length of the vessel is 35cm and its diameter is 28cm ????
top and bottom have area πr^2 = 196π
sides have area 2πrh = 980π
total: 1176π
the length of the vessel h=35 cm
diameter = 28 cm
, therefore the radius of the cylinderical vessels r= 28/2=14cm
the surface area without lid = 2Rrh +Rrsqure
2*22/7*14+22/7*14*14
3080+616
3696 cm
oops. gotta add another 196π since we have top and bottom.
To find the surface area of the metal required to make a cylindrical vessel, we need to calculate the lateral surface area of the cylinder.
The lateral surface area of a cylinder can be found using the formula: A = 2πrh, where "A" is the lateral surface area, "π" is the mathematical constant approximately equal to 3.14159, "r" is the radius of the cylinder, and "h" is the height of the cylinder.
Given:
Length of the vessel (height, h) = 35 cm
Diameter (twice the radius, 2r) = 28 cm
To find the radius (r), we need to divide the diameter by 2:
r = 28 cm / 2 = 14 cm
Now, we can calculate the lateral surface area (A) using the formula:
A = 2πrh = 2 * 3.14159 * 14 cm * 35 cm = 3078.3 cm²
Therefore, the area of the metal required to make the cylindrical vessel without a lid is approximately 3078.3 square centimeters.