Question

a) Work out the length x, in mm. b) What is the total surface area of the cylinder, in mm²? Give your answers in terms of . 6 mm 6 mm 4 mm Not drawn accurately​

Answer 1

(a) The length of x is, x = 10π mm.

(b) The area of the net cylinder is A = 80π mm².

Given information:

The radius of the sphere is 5 mm.

(a) To find the value of x:

The value of x is described as the circumference of the sphere.

So,

x = 2πr

Here, r = 5 mm.

x = 2π(5)

x = 10π mm.

(b) To find the area of the net cylinder, use the formula described below,

A = 2πr² + hx.

Here, h = 3 mm, and x = 10π.

A = 2π(5)² + (3)(10π)

A = 50π + 30π

A = 80π mm².