This silo in Vermont is topped with a hemisphere (half of a sphere) dome. If the radius of the hemisphere is 12 feet, then the volume of the hemisphere is ___ cubic feet.

3617 cubic feet

Step-by-step explanation:

V = 2/3 * π * r³

V= 2/3 * 3.14* 12(cubed)

V=2/3 * 5426

V= 2 * 5426 ÷ 3

V= 3617 Cubic feet

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

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step-by-step explanation: