Carter is choosing clay for his pottery class. Clay is sold in three different-shaped solids at the craft store. The dimensions of each of these shapes is shown below. Find the amount of clay in each solid. Use 3.14 for Pi After you found the amount for each solid, use them to answer this At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain.

sphere

Step-by-step explanation:

For cone,

Radius = 9 in.

height = 12 in.

Volume =

Then, Volume =

For cylinder,

Radius = 9 in.

height = 12 in.

Volume =

Then, volume =

For sphere,

Radius = 9 in.

Volume =

Then, volume =

For best buy, we require highest volume but lowest cost.

Thus, Volume of cone < Volume of cylinder and volume of sphere.

Volume of cylinder = volume of sphere.

But the cost of the sphere < cost of cylinder as $28<$30.

So, the sphere would be the best buy as it has the greatest volume but low cost.

lol

step-by-step explanation:

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: