What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters?

V = 1,178.1751 cm3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a hemisphere (V) = (2/3)π r3

Where r is the radius of the hemisphere. We have the width of the hemisphere that is equal to its diameter.

Since: diameter /2 = radius

In our case: r=16.51/2=8.255

So, replacing with the values given:

V = (2/3) π (8.255)∧3

V = (2/3) π (562.53718114)  

V = 1,178.1751 cm3

step-by-step explanation:

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1