Determine The Surface Area Of Each Cone. Use 03c0= 22/7

Determine the surface area of each cone. Use π= 22/7

 

Answer:

Number 14: 704 sq. dm

Number 15: 396 sq. cm

Step-by-step explanation:

For number 14:

Step 1: Write the given

  1. Slant height= 20 dm
  2. Radius= 8 dm

Step 2: Find the surface area using the formula shown below.

Total surface area: SA= \pi (radius*slant height) + \pi (radius)^{2}

  1. π=22/7
  2. SA= (\frac{22}{7})(20 dm)(8 dm) + (\frac{22}{7})(8 dm)^{2}
  3. Total surface area for number 14 is 704 sq. dm.

For number 15:

Step 1: Write the given

  1. Slant height= 15 cm
  2. Diameter= 12 cm

Since diameter is equal to twice of the radius, then at 12 cm diameter the radius is equal to 6 cm.

Step 2: Find the surface area using the formula shown below.

Total surface area: SA= \pi (radius*slant height) + \pi (radius)^{2}

  1. π=22/7
  2. SA= (\frac{22}{7})(15 cm)(6 cm) + (\frac{22}{7})(6 cm)^{2}
  3. Total surface area for number 14 is 396 sq. cm.

Therefore, the total surface area of number 14 and 15 are 704 sq. dm and 396 sq. cm, respectively.


Note: Lateral surface area is different to total surface area as it is only equal to (π*radius*slant height).

In case lateral surface area is needed, the answer are as follows:

  1. Lateral surface area of number 14 is 502.86 sq. dm.
  2. Lateral surface area of number 15 is 282.86 sq. cm.

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