An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.
We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.
This differential volume that the dome is increased is equal to the volume of the coat of paint.
The volume of the dome can be written as:

Now, we can calculate dV as:

Answer: the paint needed for this coat is approximately 7.92 m^3
Answer:
A, 0.29
Step-by-step explanation:
Since 16 ounces cost 4.69, 1 ounce costs 4.69 divided by 16. This is roughly 0.29, which would then be A.
Y= mx+b
Since this line is horizontal it's slope = 0 ==> the y=b
It passes by the point (3,-3) that means b=-3 & the equation is y=-3
Answer:
DCB = 84
Step-by-step explanation:
Here, we want to calculate the value of the angle
To do this, we use an important parallelogram angle property
The adjacent sides are supplementary, meaning they add up to 180
We have this as;
180-96 = 84 degrees
I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps