Find the surface area and the volume of a sphere with radius 1.4 cm.�

1.	Find the surface area and the volume of a sphere with radius 1.4 cm.
Answer» GIVEN : Radius of SPHERE (r) = 1.4 cm TO FIND : Find the surface area and the VOLUME of a sphere. DIAGRAM : $\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle{1}}\put(29,26){\sf\large{1.4 cm}}\end{picture}$ SOLUTION : ★ Surface* area = 4πr² ➨Surface area = 4 × 22/7 × (1.4)² ➨ Surface area = 24.64 cm² Hence, the surface area of sphere is 24.64 cm². ★ Volume of the sphere = 4/3 πr³ ➨ Volume of the sphere = 4/3 × 22/7 × (1.4)³ ➨ Volume of sphere = 11.5 cm³ Hence, the Volume of sphere is 11.5 cm³.

Find the surface area and the volume of a sphere with radius 1.4 cm.

Answer»

GIVEN :

Radius of SPHERE (r) = 1.4 cm

TO FIND :

Find the surface area and the VOLUME of a sphere.

DIAGRAM :

$\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{1.4 cm}}\end{picture}$

SOLUTION :

★ Surface area = 4πr²

➨Surface area = 4 × 22/7 × (1.4)²

➨ Surface area = 24.64 cm²

Hence, the surface area of sphere is 24.64 cm².

★ Volume of the sphere = 4/3 πr³

➨ Volume of the sphere = 4/3 × 22/7 × (1.4)³

➨ Volume of sphere = 11.5 cm³

Hence, the Volume of sphere is 11.5 cm³.