A marble-top bathroom sink has the shape of a hemispherical (a half-sphere) porcelain bowl with an inside diameter of 18 in. How much water, in gallons, will the bowl hold?

The correct answer is 6.61 gallons.

Step-by-step explanation:

A marble-top bathroom sink has the shape of a hemispherical (a half-sphere) porcelain bowl with an inside diameter of 18 inches.

Radius of the hemisphere is 9 inches.

Volume of hemisphere is × π × = × = 1527.4285 cubic inches.

Also 1 cubic inches = 0.004329 gallons

⇒ 1527.4285 cubic inches = 1527.4285 × 0.004329 = 6.61 gallons.

Thus the bowl can hold 6.61 gallons of water.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,