Question

A ganza is a percussion instrument used in samba music.

(a) Find the surface area of each of the two labeled ganzas.

(b) The smaller ganza weighs 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza?

Answer 1

Hint:

Step 1: The surface area of the smaller ganza $=2{\mathrm{\pi r}}^2+2\mathrm{\pi rh}$

Surface area $=2\times 3.14\times 3.5\times 3.5+2\times 3.14\times 3.5\times 10$

Surface area $=76.93+219.8$

Surface area $=296.73c{m}^2$

Step 2: The surface area of the larger ganza $=2{\mathrm{\pi r}}^2+2\mathrm{\pi rh}$

Surface area $=2\times 3.14\times 5.5\times 5.5+2\times 3.14\times 5.5\times 24.5$

Surface area $=189.97+846.23$

Surface area $=1036.2c{m}^2$

Final answer: The surface area of the smaller ganza is $296.73c{m}^2$

And the surface area of the larger ganza is $1036.2c{m}^2$