Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = h
where: r is its base radius and h the height
volume of the given cylinder = x
x h
= x 4
x h
= h
volume of a sphere =
where r is the radius.
volume of the given sphere = x
= x 9
= 12
Since,
volume of the cylinder = volume of the sphere
Then we have;
h = 12
4 h = 36
subtract from both sides
4h = 36
x
divide both sides by 4
h =
= 9x
h = 9x
Answer:
Step-by-step explanation:
Let be an acute angle.
To solve: , we take the sine inverse of both sides to obtain:
Recall composition property of a function and its inverse function.
We apply this property to the left hand side to obtain;
We now use our scientific calculator to obtain;
We round to the nearest tenth to obtain;