Answer: Archimedes go to sleep at 8.32 metres away from the rock.
Step-by-step explanation:
Given that the rock beside which he slept was 5 meters tall
Height h = 5m
Angle Ø = 31 degree
To get distance x away from the rock, we will use trigonometry function. SohCahToa
TanØ = opposite/adjacent
Tan 31 = 5/x
x = 5/tan31
x = 8.32m
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
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;
<em>Volume = 301.6 cm³</em><em> </em>(to 1d.p)
b. The curved surface area of the cone
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;

<em>CSA = 188.5 cm²</em> (to 1d.p)
Not completely sure on the symbols, but I think it is 5 x ( 22 - 9 x 2 ) - 2 ( 3 x 2 x 4 ) x 7 = 136. It doesn't really match the answers, so my advice is that you use a calculator for this one, or as the person/teacher who gave you the problem how to solve it.