USA test prep please answer
1 answer:
You might be interested in
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder =
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder =
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π -
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
Question:
What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the values of radius and central angle are not given.
However, I'll answer the question using the attached figure.
From the attached figure, the radius is 3 unit and the central angle is 120 degrees
The area of a sector is calculated as thus;
Where represents the central angle and r represents the radius
By substituting and r = 3
becomes
square units
Solving further to leave answer as a decimal; we have to substitute 3.14 for
So, becomes
square units
Hence, the area of the sector in the attached figure is or 9.42 square units
