The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.

What is the volume to the nearest tenth of a cubic inch, of the plastic object?

97.6 in3

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:

Volume of a cylinder: π (diameter /2) ^2 (height)

Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3

Volume of a cone = 1/3 π (diameter /2) ^2 (height)

V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3

Finally:

Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3

Feel free to ask for more if needed or if you did not understand something.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.