MyQuestionIcon

1

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

Cube and Its Surface Area

A metallic cy...

Question

A metallic cylinder has radius 3 cm & height 5 cm. It is made of metal A. To reduce its weight, a conical hole is drilled at the top-centre of the cylinder, and then completely filled with a lighter metal B. The conical hole has a radius of 1.5 cm & depth of ⁸/₉ cm. Calculate the ratio of volume of metal A to volume of metal B.

A

11 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

133 : 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

121 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

100 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

E

121 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is
C

$133 : 2$

Suggest Corrections

thumbs-up

14

Similar questions

Q. A metallic cylinder has radius

3

5

cm. It is made of metal A. To reduce its weight, a conical hole is drilled in the cylinder, as shown and it is completely filled with a lighter metal B. The conical hole has a radius of

3 / 2

cm and its depth is

8 / 9

cm. Calculate the ratio of the volume of the metal A to the volume of the metal B in the solid.

Q. A metallic cylinder has radius 3 cm and height 5 cm. To reduce its weight, a conical hole is drilled in the cylinder. The conical hole has a radius of

\frac{3}{2}

cm and its depth is

\frac{8}{9}

cm. Calculate the ratio of the volume of metal left in the cylinder to the volume of metal taken out in conical shape. [CBSE 2015]

Q. A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface and volume of the remaining cylinder.

Q. A conical hole is drilled in a circular cylinder of height

12 c m

and base radius

5 c m

. The height and the base radius of the cone are the same as the Cylinder. Find the Curved Surface Area and volume of the remaining solid.

The volume of metal in a metallic cylinder pipe is $748 c m^{3}$ , its length is $14 c m$ and its external radius is $9 c m$ . Find its thickness.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basics

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Cube and Its Surface Area

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon