Answer:
59,000
Step-by-step explanation:
Mean: xbar = (∑i=1...10 xi)/10 = (61 + ... + 100)/10 = 84.4 Sum Of Squares in X SSX = ∑i (x - xbar)2 = (61 - 84.4)2 + ... + (100 - 84.4)2 = 1364.4 Standard deviation Sample: s = √[SSX / (10 - 1)] ≈ 12.3 Population: σ = √(SSX / 10) ≈ 11.7
Let the original volume be pi *r^2* h where r = radius and h = height.
The new volume will be pi *(2/5 r)^2 * 4h = pi*4/25 r^2 4h
pi*4/25r^2 * 4h / pi r^2 h = 4/25 * 4 = 16/25
The volume has been reduced by factor of 16/25.
