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 = 36x
divide both sides by 4
h = 
= 9x
h = 9x
The area of the David's pantry = 10 square feet.
The length of the pantry = 5 feet.
<h3>Define the term area of the rectangle?</h3>
- The territory inhabited by a rectangle inside its 4 sides or limits is known as its area.
- The area of such a rectangle is determined by its sides. Essentially, the formula calculating area is equivalent to the product of the rectangle's length and breadth.
For the given question.
- David's kitchen is 60 square feet in size.
- The kitchen is six times the size of the living room.
Thus,
Area of kitchen = 6 x area of the pantry
60 = 6 x area of the pantry
area of the pantry = 60 / 6 = 10 square feet.
Area of the pantry = length x breadth
10 = length x 2
length = 10/2 = 5 feet.
Thus, the length of the pantry is found as the 5 feet.
To know more about the area of the rectangle, here
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The correct answer is f=(1/3)m
Answer:....................
Step-by-step explanation:
