Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. then use your result to find the surface area of the cone. use 3.14 for π. round the final answer to the nearest hundredth.

height: 10 yards
diameter: 16 yards

question 20 options:

522.75 yards2

321.79 yards2

102.48 yards2

1751.87 yards2

Check the picture below.

522.75 yards2

Step-by-step explanation:

The diagram of the cone is shown in the attached photo. The slant height forms the hypotenuse of the right angle triangle formed. The radius of the base of the cone is

Diameter /2 = 16/2 = 8 yards

To determine the slant height, we would apply Pythagoras theorem which is expressed as

Hypotenuse^2 = opposite ^2 + adjacent ^2

Slant height^2 = 8^2 + 10^2 = 164

Slant height = √164 = 12.81 yards

Formula for Total surface area of a cone is expressed as

πr^2 + πrl

L represents the slant height

π = 3.14

Therefore, total surface area

= (3.14 × 8 × 8) + (3.14 × 8 × 12.81)

= 200.96 + 321.7872

= 522.75 yards

answer: i think it is (1,-2)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.