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dlinn [17]
2 years ago
11

The lateral area of a cone is 9.81 in. The radius is 1.4 in. Find the slant height.

Mathematics
1 answer:
earnstyle [38]2 years ago
4 0

Answer:

As Per Provided Information

  • Lateral area of cone is 9.81 in
  • Radius of cone is 1.4 in

We have been asked to determine the slant height of the cone .

Formula used to calculate the lateral area of a cone is

\boxed{\bf  \: \purple{ Lateral  \: Area _{(Cone)} \:  =  \pi\:rl}}

here

l denote slant height

r denote radius

Substituting the value we obtain

\longrightarrow\tt \: 9.81 = 3.14 \times 1.4 \times l \\  \\  \\ \longrightarrow\tt \:9.81 = 4.396 \times l \\  \\  \\ \longrightarrow\tt \:  \cfrac{9.81}{4.396}  = l \\  \\  \\ \longrightarrow\tt \: \: l \:  =  \cfrac{9.81}{4.396}  \\  \\  \\ \longrightarrow\tt \: \: l \:  =   \cancel\cfrac{9.81}{4.396}  \\  \\  \\ \longrightarrow\tt \: \: l \:  = 2.23 \:inch \: \: (approx)

<u>Therefore</u><u>,</u>

  • <u>Slant</u><u> </u><u>height</u><u> of</u><u> </u><u>the</u><u> </u><u>cone </u><u>is </u><u>2</u><u>.</u><u>2</u><u>3</u><u> </u><u>in </u><u>.</u>

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