It's your turn on lengths, areas, and volumes

Do your best in trying to solve the following problems. In any case some of them are solved in the video and all of them are solved in the pdf file below.

Exercise 1.

Let (mathcal C) be a circle. Assume that the arclength on the circumference corresponding to an angle of (pi/6) radians at the center is equal to (3 m). Compute the perimeter and the area of (mathcal C).

Exercise 2.

Find the volume and surface area of a cube, if the area of its one face is 90 (m^2).

Exercise 3.

Find the height of a right circular cone of radius (3 cm) and side’s area (15pi cm^2).