Formula of the Volume of a hemisphere:
V =
r³
144
=
r³
Multiply by 3 to cancel fraction in the right side
144
× 3 = 2
r³
432
= 2
r³
Divide by 2
on either sides to isolate r³
=
r³
2
and
cancel out
216 = r³
Take cube root to find the radius
![\sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20)
=
![\sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
6 = r
Radius is 6 unitsThe formula of the surface area of a hemisphere is:
S.A = 2
r² +
r²
=
(6)² +
(6)²
=2
× 36 + 36
= 72
+ 36
= 108
units² (in terms of
)
≈ 339.12 units²
Surface area = 108 units
Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- By definition, the perimeter of the figure is the sum of the lenght of each side. Then, you must make the addition as following:
Where 
is the perimeter of the figure.
- Add the like terms, then, you obtain the following expression in simplest form:
Answer:
5
Step-by-step explanation:
I drew it out on a piece of paper. R is going up and down, through PQ, which is going left to right. If the ratio is 1:3, that means that for every 1 unit there is on one side, there are 3 units in the other. If R is -1 and P is -3, they are two numbers away from each other, which means that on the other side of R (to the right of R), there needs to be 6 numbers in between to make the 1:3 ratio. R is at -1, so then you would write the equation, -1+6=? The answer is 5.
-1+6=5 That is where Q would be
3 bottom sections:
10 x 20 = 200
5x 20 = 100
10 x 20 = 200
Bottom area = 200 + 200 + 100 = 500 square feet.
Short side: 3 x 20 = 60
Deep end wall : 6 x 20 = 120
Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108
2 side walls: 108 x 2 = 216
Total area : 500 + 216 + 60 + 120 = 896 square feet
Divide total area by area of 1 gallon:
896/400 = 2.24 gallons
It will take 2.24 gallons of paint
