What is the value of X ?
A-17
B-26
C-39
D-41

D. 41

Step-by-step explanation:

Use Pythagorean Theorem: a² + b² = c²

With that in mind, we already have a and b, so:

40² + 9² = c²

√(40² + 9²) = c

c = 41

And we have our final answer!

489.40 cm³

Step-by-step explanation:

Since the cross section is parallel to their respective bases, hence:

Area of the cylinder cross section = area of the circular base = πr²

where r is the radius of the cylinder base.

Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm

Since both cross sections have same area, hence:

Area of cylinder cross section = Area of rectangle base

πr² = 8.1 * 3.8

r² = 9.8

r = 3.1 cm

Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³