During math class, Laura stated that the two cylinders shown below have the same volume. Jean interrupted Laura and argued that
the volumes of the two cylinders are different. Their
eacher explained that Laura was correct.
eacher explained that Laura was correct.
1 answer:
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Answer:
Step-by-step explanation:
Step 1: Identity the radius.
Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,
OC=OE.
Step 2: Consider the rectangle.
All diagonals in a rectangle are congruent so this means
DB= OC ( OC is also a diagonal).
Thus, OC= 10 units.
Step 3: Analyze
So this means OE is also 10 units as well.
Since we know the length of the radius, Use the area of circle,
So the area of a circle is 100 pi.
Given:
The given expression is:
To find:
The value of the given expression at .
Solution:
We have,
Substituting , we get
On substituting , we get,
Therefore, the value of the given expression at is
.