Answer:
Height ( h) = 12 units.
Step-by-step explanation:
Given : An equilateral triangle with side = 8 √3.
To find : What us the length of the altitude of the equilateral triangle .
Solution : We have given equilateral triangle with side = 8 √3.
By taking the half triangle,
By the Pythagorean theorem :
(Hypotenuse)² = ( adjacent)² + (opposite)².
Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.
(8√3)² = ( 4√3)² + (h)².
192 = 48 + (h)².
On subtracting by 48 both sides.
192 -48 = (h)².
144 = (h)².
On taking square root .
h = 12 .
Therefore, Height ( h) = 12 units.
You use 1 gallon is equal to 8 pints
Can you upload another picture, you cannot really see your problem
----------------------------------------------
Find Volume of 1 tennis ball:
----------------------------------------------
Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³
Volume of 1 tennis ball = 8.18 in³
----------------------------------------------
Find Volume of 3 tennis balls:
----------------------------------------------
Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³
----------------------------------------------
Find Volume of teh cylindrical canister:
----------------------------------------------
Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)
Volume of the cylindrical canister = 52.99 in³
----------------------------------------------
Find unoccupied space:
----------------------------------------------
Unoccupied space = 52.99 - 24.54
Unoccupied space = 28.45 in³
----------------------------------------------
Answer: 28.45 in³
----------------------------------------------
Answer:
is in the shape of a sphere
diameter = 60 feet
radius = r = 60/2 = 30 feet
Step-by-step explanation:
volume of sphere = 4/3 × π × r³
= 4/3 × π × 30³
=4/3π × 27,000
= 36000π cubic feet