Start practising
Practice mode Volume and Surface Area

A solid metal sphere of radius 6 cm is melted and recast into a cone whose base radius is also 6 cm. What is the height of the cone?

Correct answer B. 24 cm

Explanation

Equate volumes: 4/3 x πr³ = 1/3 x πr²h with r = 6. So h = 4r = 24 cm.

Report a problem

Answer checked How we write and check questions

Tip: press A, B, C or D to answer, and N for the next question.

Advertisement

More Volume and Surface Area questions

See all
Question 02 Volume and Surface Area

What is the volume of a cube? I. The area of each face of the cube is 64 square metres. II. The length of one side of the cube is 8 metres.

Correct answer B. II alone sufficient while I alone not sufficient to answer

Open question
Advertisement
Question 03 Volume and Surface Area

What is the height of a circular cone? I. The area of that cone is equal to the area of a rectangle whose length is 33 cm. II. The area of the base of that cone is 154 sq. cm.

Correct answer B. II alone sufficient while I alone not sufficient to answer

Open question
Question 04 Volume and Surface Area

What is the capacity of a cylindrical tank? I. Radius of the base is half of its height which is 28 metres. II. Area of the base is 616 sq. metres and its height is 28 metres.

Correct answer B. II alone sufficient while I alone not sufficient to answer

Open question

Discussion

Have a question about this answer?

Your email address will not be published. Required fields are marked *

Links and website addresses are not allowed in comments.