Question

Find the surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 20 meters. Round the answer to the nearest square meter.
3,028 m2
3,971 m2
1,357 m2
1,671 m2

Answer 1

use this formula

http://math.about.com/od/formulas/ss/surfaceareavol_2.htm

radious is half of diamter

Answer 2

pi*r*s

to find s use pythogorean theorom

Answer 3

sqrt(10^2 + 42^2) is your s

Answer 4

Is it C?

Answer 5

43.1740663*pi*10=?

Answer 6

1 356.3533 so yes :)

Answer 7

That's the same answer I got! Thank you so much!! :D

Answer 8

de nada

Answer 9

Isn't that the lateral surface area? Wouldn't the total surface area be 1671m2?

Answer 10

@uri which of these are correct? They say its a lateral area but im confused

Answer 11

Circular Cone Formulas in terms of radius r and height h:

Volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
Base surface area of a cone (a circle):
B = πr2
Total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Circular Cone Calculations:

Use the following additional formulas along with the formulas above.

Given radius and height calculate the slant height, volume, lateral surface area and total surface area.
Given r, h find s, V, L, A
use the formulas above
Given radius and slant height calculate the height, volume, lateral surface area and total surface area.
Given r, s find h, V, L, A
h = √(s2 - r2)
Given radius and volume calculate the height, slant height, lateral surface area and total surface area.
Given r, V find h, s, L, A
h = (3 * v) / (πr2)
Given radius and lateral surface area calculate the height, slant height, volume and total surface area.
Given r, L find h, s, V, A
s = L / (πr)
h = √(s2 - r2)
Given radius and total surface area calculate the height, slant height, volume and lateral surface area.
Given r, A find h, s, V, L
s = [A - (πr2)] / (πr)
h = √(s2 - r2)
Given height and slant height calculate the radius, volume, lateral surface area and total surface area.
Given h, s find r, V, L, A
r = √(s2 - h2)
Given height and volume calculate the radius, slant height, lateral surface area and total surface area.
Given h, V find r, s, L, A
r = √[ (3 * v) / (π * h) ]
Given slant height and lateral surface area calculate the radius, height, volume, and total surface area.
Given s, L find r, h, V, A
r = L / (π * s)
h = √(s2 - r2)

Answer 12

The formula for the surface area of a cone is SA=pi*r*l+B
pi*10*43.174=1356.353295+the base which is 100*pi, the answer is D) about 1,671
I just took this test. :)