Can someone please help me with my math homework problem? My mom tried but she doesn't understand it.
What is the surface area of a right circular cylinder with base circle of radius of 5m and height of the cylinder 10m?
r = 5, h = 10
SA = 2 pi r^2 + 2 pi r h
SA = 2(3.14)(5^2) + 2(3.14)(5)(10)
SA = 2(3.14)(25) + 2(3.14)(5)(10)
SA = 50(3.14) + 100(3.14)
SA = 157 + 314 = 471 m^2
Thanks math helper but I am more lost than before since my choices for an answer are 25pi m2, 166.67pi m2,33.3pi m2, 100pi m2
I don't know what I am missing here. I am sorry to bother you.
r = 5, h = 10
SA = 2 pi r^2 + 2 pi r h
SA = 2(pi)(5^2) + 2(pi)(5)(10)
SA = 2(pi)(25) + 2(pi)(5)(10)
SA = 50pi + 100pi
SA = 150 pi m^2
do you have the formula for a right circular cylinder?
I've checked my math and I get 150pi m^2
if you can post the formula from your book I can check
Of course, I'd be happy to help you with your math homework problem!
To find the surface area of a right circular cylinder, we need to sum the areas of its curved surface and both of its bases. Let's break it down step by step:
1. Start by finding the area of the two circular bases. The formula for the area of a circle is A = πr^2, where A represents the area and r is the radius. Since the radius of the circular base is 5m, we can plug that value into the formula and calculate the area:
Area of one circular base = π(5m)^2 = 25πm^2
Since there are two bases, the total area of both bases is:
Total area of bases = 2 * 25πm^2 = 50πm^2
2. Next, we need to find the curved surface area. The formula for the curved surface area of a right circular cylinder is A = 2πrh, where A represents the area, r is the radius, and h is the height. In this case, the radius is 5m and the height is 10m. Plugging these values into the formula, we can calculate the curved surface area:
Curved surface area = 2π * 5m * 10m = 100πm^2
3. Finally, we can find the total surface area by summing the area of the bases and the curved surface area:
Total surface area = Total area of bases + Curved surface area
= 50πm^2 + 100πm^2
= 150πm^2
So, the surface area of the right circular cylinder with a base circle of radius 5m and a height of 10m is 150π square meters.