Request a call back

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

CBSE Class 9 Answered

the radius of sphere is 5 cm, if radius is increased by 20% find the % increase in volume and surface area?
Asked by nisha_vini29 | 21 Sep, 2015, 02:45: PM
answered-by-expert Expert Answer

R a d i u s space o f space s p h e r e equals 5 space c m P e r c e n t a g e space i n c r e a s e space i n space r a d i u s equals 20 percent sign A c t u a l space i n c r e a s e space i n space r a d i u s equals 20 over 100 cross times 5 equals 1 space c m N e w space r a d i u s equals 5 plus 1 equals 6 space c m V o l u m e space o f space t h e space s p h e r e comma space w h e n space r a d i u s i space straight s space 6 space c m equals 4 over 3 straight pi cross times 6 cubed V o l u m e space o f space t h e space s p h e r e comma space w h e n space r a d i u s i space straight s space 5 space c m equals 4 over 3 straight pi cross times 5 cubed I n c r e a s e space i n space v o l u m e equals 4 over 3 straight pi cross times 6 cubed minus 4 over 3 straight pi cross times 5 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 equals 4 over 3 straight pi open parentheses 6 cubed minus 5 cubed close parentheses P e r c e n t a g e space i n c r e a s e space i n space V o l u m e equals fraction numerator 4 over 3 straight pi open parentheses 6 cubed minus 5 cubed close parentheses over denominator 4 over 3 straight pi cross times 5 cubed end fraction cross times 100 percent sign 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 space space space space space space space space space space space space equals fraction numerator open parentheses 6 cubed minus 5 cubed close parentheses over denominator 5 cubed end fraction cross times 100 percent sign 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 space space space space space space space space space space space space equals 91 over 125 cross times 100 percent sign 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 space space space space space space space space space space space space equals 72.8 percent sign S u r f a c e space a r e a space o f space t h e space s p h e r e comma space w h e n space r a d i u s i space straight s space 6 space c m equals 4 straight pi cross times 6 squared S u r f a c e space a r e a space o f space t h e space s p h e r e comma space w h e n space r a d i u s i space straight s space 5 space c m equals 4 straight pi cross times 5 squared I n c r e a s e space i n space S u r f a c e space a r e a equals 4 straight pi cross times 6 squared minus 4 straight pi cross times 5 squared 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 4 straight pi open parentheses 6 squared minus 5 squared close parentheses P e r c e n t a g e space i n c r e a s e space i n space S u r f a c e space a r e a equals fraction numerator 4 straight pi open parentheses 6 squared minus 5 squared close parentheses over denominator 4 straight pi cross times 5 squared end fraction cross times 100 percent sign 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 space space space space space space space space space space space space equals fraction numerator open parentheses 6 squared minus 5 squared close parentheses over denominator 5 squared end fraction cross times 100 percent sign 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 space space space space space space space space space space space space equals 11 over 25 cross times 100 percent sign 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 space space space space space space space space space space space space equals 44 percent sign

Answered by | 21 Sep, 2015, 06:12: PM
CBSE 9 - Maths
Asked by dhokwaltushar | 25 Mar, 2024, 04:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by durgavenkatlakshmi1 | 20 Mar, 2024, 03:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ammudeep0123 | 20 Mar, 2024, 07:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by narendrapatidar39877 | 09 Mar, 2024, 11:01: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by raushanyda | 08 Mar, 2024, 12:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by utkarshrajan70 | 07 Mar, 2024, 12:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by vachishtakawade | 01 Mar, 2024, 07:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by shokeenvanshika294 | 27 Feb, 2024, 05:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by khshivam2006 | 26 Feb, 2024, 04:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×