First find the volume of cone then the hemisphere and add them together.
V of cone = 1/3πr²h
V of cone = 1/3(3.14)(2)²(6)
V of cone = 25.12 cm³
V of hemisphere = 2/3πr³
V of hemisphere = 2/3(3.14)(2)³
V of hemisphere = 16.75 cm³
Volume of the whole figure = 25.12 + 16.75 = 41.87 cm²
Due to the answer choices it is closest to C. 42 cm³
C = 25 because the amount of broth doesn't change
d = 60 because you add the total before to the new total
Hello! I believe the answer is 27.71.
I hope this helps!
18 and 35. The numbers whose sum 53 are 18 and 35.
The key to solve this problem is using a system of equations.
There are two numbers whose sum is 53. This number can be represented as x and y. So:
x + y = 53
Three times the smaller number is equal to 19 more than the larger. Let's set x as the smaller number and y the larger number. So:
3x = 19 + y
Clear y in both equations and let's use the equalization method to solve for x:
y = 53 - x and y = 3x - 19
Then,
53 - x = 3x - 19
53 + 19 = 3x + x ---------> 3x + x = 53 + 19 -------> 4x = 72
x = 72/4 = 18
To find y, let's substitute x = 18 in the equation x + y = 53
18 + y = 53 --------> y = 53 - 18
y = 35
Domain would be X is any real number.
And I believe the range is Y is greater than or equal to 0.