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

351.23

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."