The while tiles are 3/4 of a foot (or 9 inches) x 9 in, so their area is 81 sq in. There are 14 blue tiles, so 14 x 81 = 1134 sq inches that need to be covered.

Each tiles is 3 x 3, so its area is 9 sq in. 1134 / 9 = 126 tiles

6 0

2 years ago

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

2 years ago

The Nutty Professor sells cashews for $7.40 per pound and Brazil nuts for $4.80 per pound. How much of each type should be used

rjkz [21]

Answer:

cos4B =1-8sin^2(B)+8sin^4(B)

Step-by-step explanation:

cos4B =1-8sin^2(B)+8sin^4(B)

8 0

1 year ago