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Elis [28]
3 years ago
9

Find the following, giving your answers to 1 decimal place?

Mathematics
1 answer:
sweet [91]3 years ago
8 0

Answer:

I. Volume = 301.6 cm³ (to 1d.p)

II. CSA = 188.5 cm² (to 1d.p)

Step-by-step explanation:

<u>Given the following data;</u>

Height, h = 8cm

Radius, r = 6cm

Curved length = 10cm

a. To find the volume of the cone

V = \frac{1}{3} \pi r^{2}h

Where;

  • V is the volume of the cone.
  • r is the radius of the base of the cone.
  • h is the height of the cone.

Substituting into the equation, we have;

Volume = \frac{1}{3} * 3.142*6^{2}*8

Volume = \frac{1}{3} * 3.142*36*8

Volume = 3.142*12*8

<em>Volume = 301.6 cm³</em><em> </em>(to 1d.p)

b. The curved surface area of the cone

CSA = \pi rl

Where;

  • CSA is the curved surface area of the cone.
  • r is the radius of the base of the cone.
  • l is the curved length of the cone.

Substituting into the equation, we have;

CSA = 3.142*6*10

<em>CSA = 188.5 cm²</em> (to 1d.p)

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2 years ago
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