The circumference of a circle with radius 6 inches is 12π inches. 15 minutes is 1/4 of the circle which is 60 minutes Therefore the tip moves 1/4 of 12π = 3π inches In 25 minutes the tip moves (25/60)12π = 5π inches Yes, you can also use the formula s = rθ θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians Therefore s = 6 inches(π/2) = 3π inches 25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians
Answer:
n = v/8 = 40/8 = 5
Step-by-step explanation:
This question is incomplete, the missing diagram is uploaded along this answer below;
Answer:
horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
from the image,
We find the volume of the solid obtained by rotating the card around a horizontal line;
Volume of the cylinder V₁ = πr²h
given that; radii = 3 in and height = 5 in
we substitute
V₁ = π × (3)² × 5
V₁ = π × 9 × 5
V₁ = 141.37 in³
Next we find the volume of the solid obtained by rotating the card around a vertical line;
Volume of the cylinder V₂ = πr²h
given that; radii = 5 in and height = 3 in
we substitute
V₂ = π × (5)² × 3
V₂ = π × 25 × 3
V₂ = 235.62 in³
Hence horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )