The volume of the composite solid is 645.97 cubic cm
<u>Step-by-step explanation:</u>
Given that,
The side of the cube = 8cm
Diameter of the hemisphere= 8cm
Radius = 4cm
Volume of cube = 8 x 8 x 8
= 512 cubic cm
Volume of hemisphere= (2/3) π (4 x 4 x 4)
= (2/3) π (64)
= (2/3) (3.14) (64)
= 133.97 cubic cm
Total volume = 512 + 133.97
= 645.97 cubic cm
The volume of the composite solid is 645.97 cubic cm
Answer:
mdf= 90 degrees
Step-by-step explanation:
Answer:
the 2nd option
Step-by-step explanation:
the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept
Answer:n+5=2n+12, n=-7
Step-by-step explanation:
Answer:
Step-by-step explanation:
xy = 300
x + y = 50 Solve for y
y = 50 - x substitute into xy = 300
x(50 - x) = 300 Remove the brackets.
50x - x^2 = 300 Bring the left to the right.
0 = x^2 - 50x + 300
This is a quadratic. It will have 2 solutions.
a=1
b = - 50
c = 300
Put these into the quadratic equation.
It turns out that x has two values -- both plus
x1 = 42.03
x2 = 6.97
x1 + y1 = 50
42.03 + y = 50
y = 50 - 42.03
y = 7,97
(42.03 , 7.97)
====================
x2 + y2 = 50
6.97 + y2 = 50
y2 = 50 - 6.97
y2 = 43.03
(6.97 , 43.03)