What is the volume of the right prism?

15in
17in
10in
8in

a. 1200 in3 <--- ? A
b. 600 in3
c. 400 in3
d. 50 in3

The 17 doesn't matter I believe. It is labled inside the prism on the grey which is the opposite side as the 15. So I just did 15 x 10 x 8. Plus if I use 17 it would have be 2040 and that's not an option. Unless Im wrong..

What is the circumference of the circle? Use pie = 3.14. Round your answer to the nearest tenth of a centimeter.

17 cm

A.20.1 cm

B. 26.7 cm

C.34.0 cm

D. 53.4 cm <-- D?

A right cylinder has a diameter of 30 mm and a height of 30 mm, as shown.

What is the volume of the cylinder?

a. 27,000 mm3

b. 21,195 mm3

c. 2826 mm3 <?

c. 1413 mm3

How do I do this?

3.14 x 30 x 30 = 2,826

Correct me please?

SORRY i forgot to put math

1 is right.

2 -- can't tell because we don't know the diameter
3 -
The volume of cylinder is found using this formula: V = pi * r^2 * h

You didn't use the radius squared. You used the diameter.

for 2 it just has a line with a T and a line with 17cm.

for 3 How do I find the radius? is it C?

V= 30 X 15 ^2 * 30 = 21,195

I got it lol
the radius is half of 30 which is 15

Yes! :-)

and for 2 the diameter is 17cm

8.5 is the radius of 17.
So I put 8.5 x 2 x 3.14 = 53.38 and rounded is 53.4?

For the first question about the volume of the right prism, you are correct in using the formula length x width x height to calculate the volume. In this case, the length is given as 15 inches, the width is given as 10 inches, and the height is given as 8 inches. So, the volume equals 15 x 10 x 8 = 1,200 cubic inches. Therefore, the correct answer is a. 1200 in3.

For the second question about the circumference of the circle, you can use the formula C = 2πr, where π is approximately equal to 3.14 and r is the radius of the circle. In this case, the radius is given as 17 cm. So, the circumference equals 2 x 3.14 x 17 = 106.8 cm. Since the question asks to round the answer to the nearest tenth of a centimeter, the correct answer is A. 20.1 cm.

For the third question about the volume of the cylinder, you need to use the formula V = πr^2h, where π is approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder. In this case, the diameter is given as 30 mm, so the radius is half of that, which is 15 mm. The height is also given as 30 mm. So, the volume equals 3.14 x 15^2 x 30 = 21,195 cubic mm. Therefore, the correct answer is b. 21,195 mm3.

You have correctly calculated the volume, so there is no need for correction. Well done!