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.

March 19, 2026Mathematics

ScanSolve AI Answer

March 19, 2026

Answer

35.325

2.1

Diameter of top and bottom = 3 m.

r = \frac{3}{2}~m = 1.5~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~m^{3}

First, compute $r^{2}$ :

(1.5)^{2} = 2.25~m^{2}

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

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

Finally, multiply by height:

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

35.325

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2.1 Diameter of top and bottom = 3 m. r = (3)/(2)~m = 1.5~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.

Asked on March 19, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 19, 2026

2.1 Diameter of top and bottom = 3 m. r = (3)/(2)~m = 1.5~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 = 3.14. Volume formula: V = r^2 h Substitute values: V = 3.14 × (1.5)^2 × 5~m^3 First, compute r^2: (1.5)^2 = 2.25~m^2 Then, r^2: 3.14 × 2.25 = 7.065~m^2 Compute step-by-step: 3.14 × 2 = 6.28 3.14 × 0.25 = 0.785 6.28 + 0.785 = 7.065~m^2 Finally, multiply by height: 7.065 × 5 = 35.325~m^3 35.325