Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

A solid consists of a cylindrical section of length 6.5 cm and surmounted by a cone at one end, a hemisphere at the other end. Given that common radius is 3.5 cm and total height of the solid is 12.8 cm, find the volume of solid.
Asked by bis0584 | 01 Feb, 2015, 01:12: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space d i a g r a m colon
G i v e n space t h a t space t h e space l e n g t h space o f space t h e space c y l i n d r i c a l space s e c t i o n space i s space 6.5 space c m L e n g t h space o f space t h e space h e m i s p h e r i c a l space s e c t i o n space i s space i t s space r a d i u s equals 3.5 space c m G i v e n space t h a t space t h e space t o t a l space l e n g t h left parenthesis h e i g h t right parenthesis space o f space t h e space s o l i d space i s space 12.8 space c m. T h u s space t h e space l e n g t h space o f space t h e space c o n i c a l space s e c t i o n equals 12.8 space minus space left parenthesis 6.5 plus 3.5 right parenthesis equals 2.8 space c m V o l u m e space o f space t h e space s o l i d equals v o l u m e space o f space t h e space c o n i c a l space s e c t i o n plus v o l u m e space o f space t h e space c y l i n d r i c a l space s e c t i o n plus v o l u m e space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space o f space t h e space h e m i s p h e r i c a l space s e c t i o n V o l u m e space o f space t h e space s o l i d equals 1 third πr squared cross times 2.8 plus πr squared cross times 6.5 plus 2 over 3 πr cubed space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight pi cross times 3.5 squared open square brackets fraction numerator 2.8 over denominator 3 end fraction plus 6.5 plus fraction numerator 2 cross times 3.5 over denominator 3 end fraction close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight pi cross times 3.5 squared open square brackets fraction numerator 2.8 plus 3 cross times 6.5 plus 2 cross times 3.5 over denominator 3 end fraction close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight pi cross times 3.5 squared open square brackets fraction numerator 29.3 over denominator 3 end fraction close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 22 over 7 cross times 3.5 cross times 3.5 cross times open square brackets fraction numerator 29.3 over denominator 3 end fraction close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 376.017 space c u b i c space c m space space space space space space space space space
Answered by Vimala Ramamurthy | 01 Feb, 2015, 03:02: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
find the volume of food of a closed box whole external dimension are 50 cm ×30 cm ×25 cm and thickness of the wood pluck is 2 cm also find the weight of the box if diversity of wood is 0.05 g cm
Asked by nitusingh6796 | 07 Mar, 2024, 11:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
the cap of a joker is conical in which 30.8 sq.cm of cloth is used . Also the circumference of its base is 17.6 cm .(i) find the height if the cap. (ii)find the slant height of the cap (iii)find the radius of the base of the cap (iv) what is the volume of the cone ?(leave the answer in pie)
Asked by dr.amuthaswaminathan | 27 Jan, 2024, 06:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
the total surface area of hollow metal cylinder open at both ends of a internal radius 8cm and height 10cm is 388πcm²(ignoring the area of rims ).find the thickness of the metal in the cylinder
Asked by titub5397 | 18 Dec, 2023, 09:05: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if the volume of a cone is 7546cm³ and its height is 21cm find its curved surface area
Asked by surajdabas414 | 15 Nov, 2023, 05:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
A sphere is perfectley encloused inside a cube of volume 36cm cube.find the volume of sphere
Asked by ab8367153 | 30 Oct, 2023, 08:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
25 The "Caring old people organisation"  needs money to build the old age home which requires 164000 bricks.  Bricks measure 10 cm8 cm 4 cm and cost of brick depends on its volume at the rate of ` 1 per 100 cm3.  It requires 4 cylindrical cans of paint of radius 14 cm and height 30 cm.  The cost of paint is ` 1 per 20 cm3.  How much money is required by organisation ?  If “A company gives the money to organization” then, what common value is depicted by A company and organisation.
Asked by harshsejal.83 | 16 Feb, 2023, 03:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
To find formula for the curved serface area of right circullar cylender expermentally
Asked by lalchandkundara17 | 30 Dec, 2022, 08:44: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find the radius of a sphere whose area is 154 cm
Asked by manishgupta8980 | 15 Jul, 2022, 09:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
The radii of two cones are equal. If their slant heights are in the ratio 5:8, find the ratio of their curved surface area.
Asked by Sanjuhi4998 | 29 Jan, 2022, 01:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
curved surface area of a cone is 308 cm2 and it's slant height is 14 cm find (i) radius of the base and (ii)total surface area of the cone
Asked by anirani51 | 01 Dec, 2021, 10:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×