Will give brainliest. 50 points.. find the surface area of the cone in terms of pi .

so, the diameter of the cone is 12 cm, therefore its radius is 6 cm, keeping in mind its slant height is 18 cm.

The base area is given by

... A = π·r²

For a radius of 6 cm, this is

... A = π·(6 cm)² = 36π cm²

The lateral area is given by

... A = (1/2)C·s = (π/2)d·s

where C is the circumference of the base, d is the base diameter, and s is the slant height.

For a base diameter of 12 cm, this is

... A = (π/2)·(12 cm)·(18 cm) = 108π cm²

Then the total surface area of the cone is

... surface area = base area + lateral area

... surface area = (36π cm²) + (108π cm²)

... surface area = 144 cm²

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!