A sphere of radius 14 cm is melted and cast into a number of tiny cones of radius 2.33 cm each and height 6 cm. Find the number of cones that will be formed?(a) 726(b) 816(c) 721(d) 821This question was posed to me in an international level competition.Query is from Conversion of Solid from One Shape to Another topic in portion Surface Area and Volumes of Mathematics – Class 10

A sphere of radius 14 cm is melted and cast into a number of tiny cone

1.	A sphere of radius 14 cm is melted and cast into a number of tiny cones of radius 2.33 cm each and height 6 cm. Find the number of cones that will be formed?(a) 726(b) 816(c) 721(d) 821This question was posed to me in an international level competition.Query is from Conversion of Solid from One Shape to Another topic in portion Surface Area and Volumes of Mathematics – Class 10
Answer» The CORRECT OPTION is (d) 821 Easy EXPLANATION: Number of cones(VOLUME of a cone) = volume of sphere number of cones(\(\frac {1}{3}\)πr^2h) = \(\frac {4}{3}\)πr^3 number of cones(\(\frac {1}{3}\) × 3.14 × 2.33^2 × 6) = \(\frac {4}{3}\) × 3.14 × 14^3 number of cones(14) = 11488.21 number of cones = 821

Discussion

No Comment Found

Related InterviewSolutions

What is the total surface area of a cylinder with a radius of 7 m and a height of 8 m?(a) 609.4 m^2(b) 659.4 m^2(c) 650.4 m^2(d) 689.4 m^2This question was addressed to me in exam.My question is based upon Surface Area and Volume of Different Solid Shapes topic in division Surface Area and Volumes of Mathematics – Class 10
A funnel is in the shape of a right circular cone with a base radius of 3 cm and a height of 4 cm. Find the slant height of the funnel.(a) 4 cm(b) 5 cm(c) 7 cm(d) 7.5 cmThe question was asked during an interview for a job.Query is from Surface Area and Volume of Different Solid Shapes in chapter Surface Area and Volumes of Mathematics – Class 10
The difference between the radii is 12 cm and slant height is given as 15 cm. Find the height of the frustum.(a) 5.4 cm(b) 1.2 cm(c) 3 cm(d) 9 cmThe question was posed to me during a job interview.This intriguing question comes from Surface Area & Volumes in section Surface Area and Volumes of Mathematics – Class 10
How many coins of 1 cm in diameter and thickness of 1.2 cm need to be melted to form a cuboid with dimensions of 5 cm × 10 cm × 4 cm?(a) 193(b) 213(c) 184(d) 282This question was addressed to me during an online exam.This interesting question is from Conversion of Solid from One Shape to Another in division Surface Area and Volumes of Mathematics – Class 10
What is the skeletal formula to find the T.S.A of the tank consisting of a circular cylinder with a hemisphere attached on either end?(a) 2πrh + 2(2πr^3)(b) 2πrh + 2(πr^2)(c) 2πrh + 2(\(\frac {2}{3}\)πr^2)(d) 2πrh + 2(2πr^2)The question was asked by my school principal while I was bunking the class.I need to ask this question from Surface Area and Volume of Combination of Solids in portion Surface Area and Volumes of Mathematics – Class 10
Find the volume of the right prism with an area of base 121 m^2 and a height of 23 m.(a) 4793 m^3(b) 2763 m^3(c) 2783 m^3(d) 4783 m^3The question was asked during an online interview.This question is from Surface Area and Volume of Different Solid Shapes in chapter Surface Area and Volumes of Mathematics – Class 10
Find the slant height if the Frustum of height 22 cm has its diameter as 34 and 50cm.(a) 83.40 cm(b) 43.90 cm(c) 23.40 cm(d) 73.48 cmI got this question during an interview.This key question is from Surface Area & Volumes in chapter Surface Area and Volumes of Mathematics – Class 10
A metallic sphere whose radius is 4 cm is melted and cast into the shape of a right circular cone of radius 7 cm. Find the height of the cylinder?(a) 14.48 cm(b) 22.36 cm(c) 16.40 cm(d) 20.32 cmThis question was posed to me in an online interview.This interesting question is from Conversion of Solid from One Shape to Another in division Surface Area and Volumes of Mathematics – Class 10
What is the length of the resulting solid if two identical cubes of side 7 cm are joined end to end?(a) 26 cm(b) 16 cm(c) 21 cm(d) 14 cmI have been asked this question during an interview.I need to ask this question from Surface Area and Volume of Combination of Solids topic in chapter Surface Area and Volumes of Mathematics – Class 10
A solid is in the form of a cone mounted on a hemisphere. The radius and height of the cone are 3 m and 4 m. Find the surface area of the given solid.(a) 114.4 m^2(b) 103.62 m^2(c) 70 m^2(d) 72.5 m^2This question was addressed to me in exam.Asked question is from Surface Area and Volume of Combination of Solids in portion Surface Area and Volumes of Mathematics – Class 10

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment