(Score for Question 3:
1 answer:
Answer:
It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines
Step-by-step explanation:
<u>Claim</u>: it's a 90 degree rotation around the intersection of f and g.
It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection , but slightly to the side, around let's say,
; the new line will coincide with
if and only if
, ie only the rotation happens around the intersection.
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Given:
Diameter if the spherical tank = 20 ft.
Now,
We know,
radius = diameter / 2
= 20 / 2
= 10 ft.
Now,
The area of the spherical tank =
=
=
=
=
Now,
According to the question,
400 ft² needs 1 gallon of paint
1 ft² needs (1 / 400) gallon of paint
1256.64 ft² needs (1 / 400) * 1256.64 gallon of paint
= 3.1416 gallon of paint
= 3.14 gallon of paint --------------> rounded
So, we need 3.14 gallon of paint
Diameter if the spherical tank = 20 ft.
Now,
We know,
radius = diameter / 2
= 20 / 2
= 10 ft.
Now,
The area of the spherical tank =
=
=
=
=
Now,
According to the question,
400 ft² needs 1 gallon of paint
1 ft² needs (1 / 400) gallon of paint
1256.64 ft² needs (1 / 400) * 1256.64 gallon of paint
= 3.1416 gallon of paint
= 3.14 gallon of paint --------------> rounded
So, we need 3.14 gallon of paint