Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
The height of the cactus is three times the height of the gate
The gate is 3 feet tall
Answer:
The perimeter of the rhombus is 218. And I think the area is 4320. Wait for more responses to be sure also for the trapezoid I used 54 as my base added them two times then multiplied it by 55 I didn't know if I had to do multiply it by 50 so after I multiplied it by 55 then divided it by two and added it to the area of the triangle in the figure. I'm not sure if I make sense but I know for sure the perimeter is 218.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Polygon 3 and 5 are congruent cause they have the same length of side