Question

Find the surface area of a sphere of radius 7cm​

Answer 1

ANSWER:

Given:

• Radius of sphere = 7cm.

To Find:

• Surface area of the sphere

Solution:

$\text{\sf{We know that,}}\\\\:\longrightarrow \sf{Surface\:Area\:of\:a\:sphere=4\times\pi\times r^2} \\\\\text{\sf{Here, r is the radius of the sphere}} \\\\\text{\sf{But we are given that radius is 7cm.}} \\\\\text{\sf{Take value of \pi as 22/7.}} \\\\\text{\sf{So,}} \\\\:\implies\sf{Surface\:Area\:of\:the\:sphere=4\times\dfrac{22}{7\!\!\!/}\times7^{2\!\!\!/}} \\\\:\implies\sf{Surface\:Area\:of\:the\:sphere=4\times22\times7} \\\\:\implies\bf{Surface\:Area\:of\:the\:sphere=616cm^2}$

Formula Used:

• Surface area of a sphere = 4πr²

Learn More:

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = (4/3)πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²

Answer 2

Answer:

$\large \underline\red {\sf \pmb{Given}}$

• ➛ Radius of Sphere = 7 cm

$\large \underline\red{\sf \pmb{To \: Find }}$

• ➛Surface area of Sphere

$\large \underline\red {\sf \pmb{Using \: Formula}}$

$\circ\underline{\boxed {\sf{Area \: of \: Sphere =4 {\pi} {r}^{2} }}}$

$\large \underline {\sf \pmb{Solution}}$

$: \implies{\sf{Surface \: Area \: of \: Sphere =4 {\pi} {r}^{2} }}$

• ➣ Substituting the values

$: \implies{\sf{Surface \: Area \: of \: Sphere =4 \times { \dfrac{22}{7} } \times {7}^{2} }}$

${: \implies{\sf{Surface \: Area \: of \: Sphere =4 \times { \dfrac{22}{7} } \times7 \times 7 }}}$

${: \implies{\sf{Surface \: Area \: of \: Sphere =4 \times { \dfrac{22}{ \cancel{7} }}\times \cancel{7 }\times 7 }}}$

${: \implies{\sf{Surface \: Area \: of \: Sphere =4 \times22 \times{7}}}}$

${: \implies{\sf{Surface \: Area \: of \: Sphere =616 \: {cm}^{2} }}}$

$\underline{ \boxed{ \boxed{\sf \purple{Surface \: Area \: of \: Sphere =616 \: {cm}^{2} }}}}$

• ➢ Henceforth,The Area of Sphere is 616 cm²

$\large \underline\red{\sf \pmb{Diagram}}$

$\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf 7cm}\end{picture}$

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$\large \underline\red{\sf \pmb{Know \: More }}$

Sphere

• ➤ A sphere is shaped like a ball. It can be hollow or solid.
• ➤ A sphere is a round, ball-shaped solid. It has one continuous surface with no edges or vertices.

Formula Related To Sphere

★ Diameter of a Sphere Formula

• $: \implies \sf \purple{D = 2 r}$

★ Surface Area of a Sphere Formula

• $: \implies \sf \purple{A = 4 \pi {r}^{2} }$

★ Volume of a Sphere

• $: \implies \sf \purple{V = \bigg( \dfrac{4}{3} \bigg) π {r}^{3} }$