A castle under siege has enough food for 300 men for 90 days. (Level 6) After 40 days, 150 men have left the castle. How long would the food last at the same rate of consumption?

45 days

Step-by-step explanation:

300 men  = 90 days

the percentage of food consumed by one man

= ( 90 / 300 ) * 100

= 30%  = 0.3

After 40 days

150 men remain to consume at 30%

determine the number of days the remaining food will last ( x )

= x / 150 = 0.3

therefore ; X = 150 * 0.3 = 45 days

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2