44.9k views
3 votes
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

1. What is the lateral area of the cone to the nearest whole number? The figure is-example-1
1. What is the lateral area of the cone to the nearest whole number? The figure is-example-1
1. What is the lateral area of the cone to the nearest whole number? The figure is-example-2

1 Answer

5 votes

Answer:

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.

User Rafael Mori
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories