Question

1. What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.(50 m cone)

49,009 m
18,850 m2
98,018 m2
94,248 m22.

2. What is the slant height of the cone to the nearest whole number? The figure is not drawn to scale.(17m CONE)
21 m
19 m
17 m
18 m

Answer 1

1)

S=48984 m^2

2)

slant height=19 m.

Explanation:

1)

The height(h) of cone is given by: 50 m.

Diameter of cone is: 240 m.

Also radius(r) of cone is:240/2=120 m.

The lateral surface(S) area is given by:

`S=\pi r√(h^2+r^2)`

`S=3.14* 120* √((50)^2+(120)^2)\\ \\S=3.14* 120* √(2500+14400)\\ \\S=3.14* 120* √(16900)\\\\S=3.14* 120* 130\\\\S=48984 m^2`

Hence, lateral surface area of cone= 48984 m^2.

2)

We are given that radius(r) of cone=9 m.

Height (h) of cone = 17 m.

Slant height(l) of cone is given by:

`l=√(h^2+r^2)`

`l=√((17)^2+9^2)\\\\l=√(289+81)\\\\l=sqrt{370}=19.2353\\\\l=19 m.`

Hence, slant height is 19 m.