A Municipal Manager donates cylindrical tanks for garden irrigation. Each tank is 2.5m high and its diameter is 150cm. Determine the radius, capacity and surface area of the tank.

2.1

Diameter of top and bottom = 3 m.

$$r = \frac{3}{2}~\mathrm{m} = 1.5~\mathrm{m}$$

Top radius = 1.5 m
Bottom radius = 1.5 m

2.2

Radius of the tank = 1.5 m

2.3

The tank is a cylinder with radius $r = 1.5$ m and height $h = 5$ m.
Use $\pi = 3.14$.

Volume formula:

$$V = \pi r^{2} h$$

Substitute values:

$$V = 3.14 \times (1.5)^{2} \times 5~\mathrm{m^{3}}$$

First, compute $r^{2}$:

$$(1.5)^{2} = 2.25~\mathrm{m^{2}}$$

Then, $\pi r^{2}$:

$$3.14 \times 2.25 = 7.065~\mathrm{m^{2}}$$

Compute step-by-step:

$$3.14 \times 2 = 6.28$$ $$3.14 \times 0.25 = 0.785$$ $$6.28 + 0.785 = 7.065~\mathrm{m^{2}}$$

Finally, multiply by height:

$$7.065 \times 5 = 35.325~\mathrm{m^{3}}$$

35.325