Question

Please help with this question;)

Answer 1

6931.73

Explanation:

π =3

cone base diameter = 6 so r=3

it's given height is 11

so use formula given V = π/3*3²*11 =99

sphere r =3

so use formula given V = 4/3*π*3³ = 4*81 = 324

total 99+324 =423 cubic INCHES!!!

1" = 2.54 cm

so you'll have to multiply 2.54³ to covert it to

cubic CMS = 6931.73 cubic CMS

Answer 2

3392 cm³

Explanation:

You want the volume in cubic centimeters of the given composite figure with dimensions in inches.

Composition

The figure is composed of a cone and a sphere. The diameter of the cone is 6 inches, so its radius is 3 inches, the same as that of the sphere. The total volume is the sum of the volumes of the parts.

`V=(4)/(3)\pi r^3+(1)/(3)\pi r^2h\\\\\\V=(4\pi r^3+\pi r^2h)/(3)=(\pi r^2(4r+h))/(3)`

Using the given values for π, r, h, we find the volume in cubic inches to be about ...

V = 3·3²(4·3 +11)/3 = 9(12+11) = 207 . . . . cubic inches

Units

Each cubic inch is (2.54 cm)³, so we can find the number of cubic centimeters by multiplying by this factor.

V = (207 in³)(2.54³ cm³/in³) = 3392.122248 cm³

Given our approximation of pi to 1 significant digit, it is not a stretch to round this to 3392 cm³. It could even be reasonably rounded to 2 sf, 3400 cm³.

The volume of the object is approximately 3392 cm³.

__

Additional comment

Using the actual value of pi, the volume would be computed as about 3552.2 cm³.

The actual volume is about 4.72% higher than the estimate computed here. Using 3 for pi is convenient for estimation purposes. Knowing the error that introduces allows the estimated value to be corrected, if desired.

<95141404393>