Answer:
I. Volume = 301.6 cm³ (to 1d.p)
II. CSA = 188.5 cm² (to 1d.p)
Step-by-step explanation:
Given the following data;
Height, h = 8cm
Radius, r = 6cm
Curved length = 10cm
a. To find the volume of the cone
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
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;
[tex] Volume = \frac{1}{3} * 3.142*6^{2}*8 [/tex]
[tex] Volume = \frac{1}{3} * 3.142*36*8 [/tex]
[tex] Volume = 3.142*12*8 [/tex]
Volume = 301.6 cm³ (to 1d.p)
b. The curved surface area of the cone
[tex] CSA = \pi rl[/tex]
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;
[tex] CSA = 3.142*6*10 [/tex]
CSA = 188.5 cm² (to 1d.p)
