Question

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

Answer 1

I. Volume = 301.6 cm³ (to 1d.p)

II. CSA = 188.5 cm² (to 1d.p)

Explanation:

Given the following data;

Height, h = 8cm

Radius, r = 6cm

Curved length = 10cm

a. To find the volume of the cone

`V = (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 = (1)/(3) * 3.142*6^(2)*8`

`Volume = (1)/(3) * 3.142*36*8`

`Volume = 3.142*12*8`

Volume = 301.6 cm³ (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`

CSA = 188.5 cm² (to 1d.p)