The given number which is 2A193A411 is written in Base 11. Base 11 number is also called undecimal system. The digits of Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Since 10 is not accepted as a digit, then we have to substitute a variable which is A = 10. Hence, the digits of a Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A.
The northbound biker travels (4 mph)(4 hr) = 16 mi, and
the eastbound biker travels (3 mph)(4 hr) = 12 mi.
They travel at right angles to one another. Thus, the Pythagorean Theorem applies here. The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.
Volume of cylinder: V = πr²h The desired volume is 1 Liter = 1000 cm³ 1000 = πr²h h = 1000/πr²
Surface area of cylinder: S.A = 2πr² + 2πr²h We substitute the value of h from the first equation: S.A = 2πr² + 2πr(1/πr²) S.A = 2πr² + 2/r Now, to minimize surface area, we differentiate the expression with respect to r and equate to 0. 0 = 4πr - 1000/r² 4πr³ - 1000 = 0 r = 4.3 cm h = 17.2 cm
