A cylindrical cup has a circular base of radius 7cm and height of 10cm take pi as 22/7
The volume of the cylindrical cup can be found using the formula V = πr^2h, where r is the radius of the circular base and h is the height of the cup.
Substituting the given values, we have:
V = π(7cm)^2(10cm)
V = (22/7)(49cm^2)(10cm)
V = 1540cm^3
Therefore, the volume of the cylindrical cup is 1540 cubic centimeters.
To find the surface area of the cylindrical cup:
Step 1: Calculate the area of the circular base
The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
In this case, the radius (r) is 7cm.
So, the area of the circular base = (22/7) * (7)^2.
Step 2: Calculate the area of the curved surface
The formula for the curved surface area of a cylinder is A = 2πrh, where A represents the area, r represents the radius, and h represents the height.
In this case, the radius (r) is 7cm and the height (h) is 10cm.
So, the area of the curved surface = 2 * (22/7) * (7) * (10).
Step 3: Calculate the total surface area
To find the total surface area, you need to sum up the area of the circular base (from Step 1) and the area of the curved surface (from Step 2).
So, the total surface area = area of circular base + area of curved surface.
Step 4: Substituting the values and calculating
Total surface area = [(22/7) * (7)^2] + [2 * (22/7) * (7) * (10)].
Now, perform the calculations to find the total surface area of the cylindrical cup.