Answer:
24
Step-by-step explanation:
Direct variation (with constant of proportionality) has the form:

Where,
- A & B are the 2 variables being compared
is the constant of proportionality
Using cookies,
, and sugar,
, we can write:

Substituting
and
, and solving for
, we have:

Thus, constant of proportionality is 24
Answer:
(1,2)
Step-by-step explanation:
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Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:

Substitute the given values.
(since r = h)


Divide by 3.14 on both sides.


Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:



The volume of the sphere is 63.85 cm³.