Filling in the nominal values, the formula for volume gives you
... V = (π/3)(6 cm)²(7 cm) = 84π cm³ ≈ 263.8944 cm³
The volume is a linear function of height, so the uncertainty in volume is proportional to the uncertainty in height. That is, the volume uncertainty will be
... ±∆V = ±(0.02/7)×263.8944 cm³ = ±0.753984 cm³
The volume of the cone is about 263.89 ± 0.75 cm³.
_____
We choose to round the volume to 5 significant digits because that is the accuracy of our value of π. The error is then rounded to the same precision.
Answer:
Consider this composite figure made of a cone and a cylinder.
A cone has a height of 8 centimeters and radius of 3 centimeters. A cylinder has a height of 7 centimeters and radius of 3 centimeters.
What is the volume of the cone?
Cone V = 1
3
Bh
V = 1
3
πr2h
V = 1
3
π32(8)
V = 1
3
π(9)(8)
V = 1
3
π(72)
The cone has a volume of
24
Step-by-step explanation:
THE ANSWER IS 24
