The surface area of a right circular cone is 20 cm. The radius of the base and the slant height are each multiplied by 5, enlarging the cone. What is the surface area of the new cone?

Answer

The surface area of the new cone is 240 inches^2

Step-by-step explanation:

If the two cones are similar, then

R1 / R2 = L1 / L2 =Constant ratio

S. A1 / S. A2 = ( R1/ R2)^2

V1 / V2 = ( R1 / R2)^3

The surface area of a right circular cone is 15 inches^2

The cone is enlarged by multiplying both the radius of the base and the slant height by 4

The two cone are similar

R1 / R2 =1/4

The surface area of a right circular cone is 15 inches^2

S.A1 / S. A2 = ( R1/R2) ^2

By using cross multiplication

15 × 16 = S. A2× 1

240 = S. A2

The surface area of the enlarged cone = 240 inches^2

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb