MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Surface area of a solid

The volume of...

Question

The volume of a cylinder of radius $r$ is $1 / 4$ of the volume of a rectangular box with a square base of side length $x$ . If the cylinder and the box have equal heights, then what is the value of $r$ in terms of $x$ ?

Open in App

Solution

The correct option is (B)

Suggest Corrections

thumbs-up

0

Similar questions

Q. The volume of a cylinder of radius r is 1/4 of the volume of a rectangular box with a square base of side length x. If the cylinder and the box have equal heights, what is r in terms of x?

(a)

\frac{x^{2}}{2 π}

\frac{x}{2 \sqrt{π}}

\frac{\sqrt{2 x}}{π}

\frac{π}{2 \sqrt{x}}

Q. The volume of a cylinder of radius

r

\frac{1}{4}

of the volume of a rectangular box with a square base of side length

x

. If the cylinder and the box have equal heights, what is r in terms of

x

?

Q. Volume of a cylinder is in joint variation with square of the length of radius of base and its height. Ratio of radii of bases of two cylinders is

2 : 3

and ratio of their heights is

5 : 4,

then find the ratio of their volumes. [4 Mark]

Q. A cylinder of height 28 cm and radius 10 cm is melted and formed into 4 square base pyramids of equal volume. Find the height of the pyramid, if the length of its base is 20 cm.

Q. A rectangular box with a square base is inscribed in a hemisphere of radius

R

. The maximum volume of the box is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Surface area of a solid

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon