Question

A cylindrical log has a length of 3 meters and a radius of 3/20 of a meter. how much space does the log occupy?

A. 9/20 PI m^3 B. 3/20 PI m^3 C. 27/400 PI m^3 D. 9/400 PI m^3

Answer 1

0.212 sq-m

Explanation:

(refer to attached)

Volume of a cylinder is given by

V = πr² h, where 3 is the radius and h is the height

in this case, h is given as the length of the cylinder of 3 m

r is given to be (3/20)m

hence,

V = πr² h

V = π(3/20)² (3)

V = π (9/400) (3)

V = π (27/400) (assuming π = 3.142)

V = 3.142 (27/400) = 0.212 sq-m