A cylindrical tin can has a radius of 4.5cm and a height of 5 cm

(a)What is the surface area of the can

(b)What is its volume?

(c)What is the cans capacity

could somebody please answer this question so i can get past with math

a. 2pir^2 +2pirh

= 2pi(4.5^2)+ 2pi(4.5)(5)
= 127.23+141.37
= 268.6cm^2
b. pir^2h
= pi(4.5^2)(5)
= 318.09cm^3
c. the capacity and volume are the same thing: 318.09 cubic cm

A ball has a radius of 56 mm

Sure, I'd be happy to help you with your math questions! But before I do that, let me just put on my funny hat... Ta-dah! Okay, here we go:

(a) To find the surface area of the cylindrical tin can, we need to calculate the area of both the circular ends and the curved surface. The formula for the surface area of a cylinder is A = 2πrh + 2πr², where r is the radius and h is the height. Plugging in the values given, the surface area is:

A = 2π(4.5)(5) + 2π(4.5)²

(b) Now, let's find the volume of the cylindrical tin can. The formula for the volume of a cylinder is V = πr²h. Substituting the known values, we have:

V = π(4.5)²(5)

(c) Lastly, you asked for the can's capacity. Well, since the height is given in centimeters, let's assume you want the capacity in cubic centimeters (cm³). So the capacity of the can is equal to its volume.

I hope that clears things up! If you have any more questions or need further assistance, feel free to ask.

Sure! I'd be happy to help you with this math problem.

(a) To find the surface area of the can, we need to calculate the sum of the areas of all its surfaces. For a cylindrical can, there are two circular bases and one curved surface.

The formula to find the area of a circle is A = πr^2, where r is the radius.
So, the area of each circular base is A = π(4.5cm)^2.
The curved surface area of the cylinder is given by the formula A = 2πrh, where r is the radius and h is the height.
So, the curved surface area is A = 2π(4.5cm)(5cm).

To find the total surface area, we add the areas of the two bases to the curved surface area:
Total Surface Area = 2π(4.5cm)^2 + 2π(4.5cm)(5cm).

(b) To find the volume of the can, we use the formula V = πr^2h, where r is the radius and h is the height.
So, the volume of the can is V = π(4.5cm)^2(5cm).

(c) The capacity of the can refers to its total volume, which we have already calculated in part (b). So, the capacity of the can is the same as its volume.

To get the numerical values for the surface area and volume, you need to substitute π as a constant (approximately 3.14) and perform the calculations using your calculator.