I am preparing to sit for the GRE exam and studying on my own. I have a few questions regarding the maths part.
From Solid figures:
1) The volume of a box with a square base is 128cc. The height of the box is twice the breadth of the box.Find the height.
My solve- V=128, since it's given, square box so a3= 128, a=5 & h=2w (w=width/breadth;h=height) and since square box so w=5 then h=2x5=10
Not sure if it's correct, my procedure I mean & I don't have any answer sheet here.
2) Three cylindrical tanks of diameters 2m,4m,8m & of same height are to be filled simultaneously. What is the ratio of time taken in which they are filled?
My solve: V=rate x time
v1:v2:v3
cylinder volume= pi x r2 xH
pi and h cuts all through & am left with 1:4:16. Want to know if it's correct way.
Haven't attempted the following qs because I couldn't figure out how to start-
3) The radius of a right circular cylinder is increased by 40%. find the percentage increase in volume.
4) Find the volume of the largest circular cone that can be cut out of a cube of side 6m?
5) The diameter of the circular building is 14m, which is 33m in height. The staircase has been built along the curved surface in such way that the first step & last step are in vertical line. Find the length of the staircase.
6) What is the length of the wire of diameter 0.4m made out of solid sphere of radius 6m.
Now onto co ordinate geometry- attaching photos, the image is inverted can't make it straight & problem with no.3
need help with no.6
need help with 11,13,14,15
help with no.1
From Solid figures:
1) The volume of a box with a square base is 128cc. The height of the box is twice the breadth of the box.Find the height.
My solve- V=128, since it's given, square box so a3= 128, a=5 & h=2w (w=width/breadth;h=height) and since square box so w=5 then h=2x5=10
Not sure if it's correct, my procedure I mean & I don't have any answer sheet here.
2) Three cylindrical tanks of diameters 2m,4m,8m & of same height are to be filled simultaneously. What is the ratio of time taken in which they are filled?
My solve: V=rate x time
v1:v2:v3
cylinder volume= pi x r2 xH
pi and h cuts all through & am left with 1:4:16. Want to know if it's correct way.
Haven't attempted the following qs because I couldn't figure out how to start-
3) The radius of a right circular cylinder is increased by 40%. find the percentage increase in volume.
4) Find the volume of the largest circular cone that can be cut out of a cube of side 6m?
5) The diameter of the circular building is 14m, which is 33m in height. The staircase has been built along the curved surface in such way that the first step & last step are in vertical line. Find the length of the staircase.
6) What is the length of the wire of diameter 0.4m made out of solid sphere of radius 6m.
Now onto co ordinate geometry- attaching photos, the image is inverted can't make it straight & problem with no.3
need help with no.6
need help with 11,13,14,15
help with no.1