Question

A cylinder and a rectangular prism have the same volume and same height. The base of the prism is a square with side length 8 cm.

What is the approximate radius of the cylinder?

A.
2.5 cm

B.
4.0 cm

C.
4.5 cm

D.
20.4 cm

Answer 1

help

Answer 2

need help

Answer 3

thx

Answer 4

do you know what a rectangular prism is?

Answer 5

yes

Answer 6

draw a picture for starters.

Answer 7

how

Answer 8

im 3d and color blind

Answer 9

or you can set up an equation:
l*w*h=pie*r^2*h
8*8*h=pie*r^2*h

Answer 10

64h=pie*r^2*h

Answer 11

yes i think
pi*r^2*h

Answer 12

\(\bf \textit{volume of a cylinder}=\pi r^2 h
\\ \quad \\
\textit{volume of a rectangular prism}=length\cdot width\cdot height\implies lwh
\\ \quad \\
\textit{their volume is the same, thus }\pi r^2 h\iff lwh
\\ \quad \\
\textit{base of the prism will be }length\cdot width=lw = 8\cdot 8=64
\\ \quad \\
\textit{thus we could say that }\pi r^2 h=lwh\implies \pi r^2 h=64h\)

solve for "r"

Answer 13

oh ok thx