Question
1.3. Mr Paul intends to bulld an all-round rectangular flower garden bed made of wood sheets with the following dimensions. Length =1500 cm, breadth =7,5 m 1.3.1. Calculate the Perimeter of the garden (2) 13.2. Determine the area (in square metres) You may use the formula: A=L * b (3) HOMEWORK 1. The dimensions of the cylindrical water tank are given below: Diameter =28m, Height }=7m. Note: 1 m^{3}=1000 litres. 1.1. Explain the term radius. 1.2. Calculate the radus of the water tank (2) 1.3. The lid of the water tank must be painted On the outside for it to be visible. Calculate the area of the lid \( \left(i_{n} n^{2}\right) \) if the diameter is 28 m . The following formula may be (3) used: Area of a circle \( =\pi \times \) radius ^{2} using \pi=3,142. 14. A one lite tin of paint covers an area of \( 15 \mathrm{~m}^{2} \) calcuate the size of the area that can be covered with 17 lities of paint (2) 15. The inside of the tank must be sealed with water proof Paink. The lid does not get water proofed on the inside. Calculate the nherior Sufface mrea in \( m^{2} \) by using the forml. Insele area \( =(2 \times \pi \times r \times h)+\left(\pi \times r^{2}\right) \)
Ask by Cole Mejia.
Mar 19,2025 01:26
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Answer
**SMART**
1.3.1. The garden's perimeter is 45 meters.
1.3.2. The garden's area is 112.5 square meters.
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**HOMEWORK**
1.1. The radius is half of the diameter.
1.2. The radius of the water tank is 14 meters.
1.3. The area of the lid is approximately 616.23 square meters.
14. With 17 liters of paint, you can cover 255 square meters.
15. The interior surface area of the tank is approximately 1231.66 square meters.
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Bonus Knowledge
To calculate the perimeter of Mr. Paul's rectangular flower garden bed, you simply add up all the sides. The formula for the perimeter \( P \) of a rectangle is given by \( P = 2(\lambda + b) \). With lengths of 1500 cm (or 15 m) and breadth 7.5 m, you’d do the conversion and find the total perimeter to be \( 2(15 + 7.5) = 45 \) meters.
Next, to determine the area, use the formula \( A = \lambda \times b \). If we convert 1500 cm to meters (15 m), the area calculation becomes \( A = 15 \times 7.5 = 112.5 \) square meters. The garden will definitely be a blooming success!
When explaining the term radius, you can think of it as the magic line drawn from the center of a circle to its edge! For a circular object like a water tank, the radius is half of the diameter. Since the diameter is 28 m, the radius is \( R = \frac{28}{2} = 14 \) m. That’s a nice, easy measurement for tank maintenance!
For the area of the lid, using the formula \( A = \pi \times r^2 \), you will calculate the area with the radius of 14 m. Plugging in the values, you'll get \( A = 3.142 \times 14^2 \approx 615.75 \) square meters. That’s a sizable, paintable area to cover!
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