Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Easy just subtract 20 and 12 and its 8 the reason how i got that is because the ladder is 20 feet high and it now stands 12 feet on the fence so the fence is only 8 feet PLZ MARK ME BRAINIEST MY ANSWER IS RIGHT i have done the test ur welcome.
A)46. Take 42 and divide it by 3. Then multiply 14 by 4.
b)2:1. There are 2 wings for every 1 beak on a bird.
c)15 minutes. multiply 50 times 60 and that's how many times it beats per minute. Then divide 45000 by that number and that's how many minutes it should take.
d) 28%. You have to add all the students together, and you get 200. Then you divide 56 by 200.
3.8 / 1.9 = x / 7.6....3,8 miles to 1.9 miles = x miles to 7.6 miles
cross multiply
(1.9)(x) = (3.8)(7.6)
1.9x = 28.88
x = 28.88 / 1.9
x = 15.2 <== Cameron ran 15.2 miles
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00