Question

pls help will give medal A cylinder and a rectangular prism have the same volume and same height. The base of the prism is a square with side length 7 cm.

What is the approximate radius of the cylinder?

A.
4.0 cm

B.
3.5 cm

C.
2.2 cm

D.
1.5 cm

Answer 1

volume of...cylinder = pi r^2 h where h = height of the cylinder r = radius of the cylinder and volume of rectangular prism = l.b.h. where l = length b = breadth and h = height and since as it has been given that its a square with side length 7cm therefore l *b= 7*7

Answer 2

7 x 7 is 49

Answer 3

so the answer is a

Answer 4

yes

Answer 5

thank you

Answer 6

wait someone is going to check it

Answer 7

and np

Answer 8

@davidmack

Answer 9

V=pi*r^2*h for a cylinder
V=l*w*h for a prism
the volumes are equal
pi*r^2*h=l*w*h
the heights are equal, so divide both sides by h
pi*r^2=l*w
l and w are both 7 cm (base is a square with side lengths 7 cm)
pi*r^2=7*7
pi*r^2=49
r^2=49/pi
r^2=49/3.14159
r^2=15.597197
take the square root of both sides
r=3.94932875 cm
3.94932875≈4, the answer is A) 4.0 cm

Answer 10

thanks