Use rounding or compatible numbers to estimate the difference 192-78

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.

5 0

3 years ago

What is the degree of the polynomial given below? F(x) - 2x3 - x2 +5x - 3

Anna71 [15]

Answer:

3

Step-by-step explanation:

3 is the degree of polynomial $f(x) = -2x^3-x^2+5x-3$

=> Degree of the polynomial is the highest power/exponent contained by the variable in the expression.

6 0

3 years ago

Read 2 more answers

GIVING BRIANLIEST PLS HELP

Ivenika [448]

Step-by-step explanation:

a) Line AB ll DC

b) Line GH acts as a transversal.

c) <10 ; <12 , <9 ; <11

d) <8 = 180° - 120° = 60°(Ans)

<6 = 120°(Ans)

<5 = 60°(Ans)

<4 = 60°(Ans)

<3 = 120°(Ans)

<2 = 120°(Ans)

<1 = 60°(Ans)

5 0

3 years ago

Read 2 more answers

Which expression is equivalent to the given expression? (3y – 4) (2y + 7) + 1ly – 9

PilotLPTM [1.2K]

Answer:

6y²+40y--27

Step-by-step explanation:

(3y – 4) (2y + 7) + 1ly – 9

6y² + 21y -- 8y --28 + 11y --9

6y²+40y--27

8 0

3 years ago

input x 2,4,6,8 output y 1, 2, 3, 4 compare the table with the relation f(x) =3x-10. Which relation has a greater value when x=

vekshin1

Answer:

The function f(x)=3x-10 has the greater value at x=8.

Step-by-step explanation:

In the table, x=8 corresponds to y=4.

In the function f(x)=3x-10 when x=8, y corresponds to f(8)=3(8)-10=24-10=14.

SInce 14>4 , the the function f(x)=3x-10 has a greater value at x=8 than the table does.

3 0

3 years ago