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ss7ja [257]
3 years ago
8

Question 1 (1 point)

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

im not bad human but really nice so

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14. A right cone has a height of 14 in and a base diameter of 17 in.
Mars2501 [29]

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

A=\pi rl

A=\pi r\sqrt{r^2+h^2}              ...(i)

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = \dfrac{\text{Base diameter}}{2}

r=\dfrac{17}{2}

r=8.5

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}

A=26.69\sqrt{72.25+196}

A=26.69\sqrt{268.25}

A=437.1379

A\approx 437

Therefore, the lateral surface area of the cone is 437 sq. inches.

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