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.

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!

4.6875 pounds

step-by-step explanation: