Math, asked by reshmarosegiris, 11 months ago

Please answer Q7 b. It’s very urgent :(

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Answered by drrams1972
0

Step-by-step explanation:

I don't know about this question sorry

Answered by Anonymous
1

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Volume of sphere =

Volume of sphere = Volume cone cone 1 + Volume of cone 2

 \frac{4}{3} \pi {r}^{3}  =  \frac{1}{3} \pi \:  {r}^{2} h \:  +  \frac{1}{3} \pi {r}^{2} h \\  \frac{4}{3}  {r}^{3}  =  \frac{1}{3}  {r}^{2} h +  \frac{1}{3}  {r}^{2} h \\  \frac{4}{3}  {r}^{3}  =  \frac{1}{3} ( {r}^{2} h +  {r}^{2} h) \\ 4 {r}^{3}  =  {r}^{2}h  +  {r}^{2} h

\huge{\underline{Given:}}

\longrightarrowRadius of cone 1 = 3 cm

\longrightarrowHeight of cone 1 = 5 cm

\longrightarrowRadius of cone 2 = 2 cm

\longrightarrowHeight of cone 2 = 4.5 cm

Substituting values:

4 {r}^{3}  = 3 \times 3 \times 5 + 2 \times 2 \times 4.5 \\  {r}^{3}  =  \frac{45 + 18}{4}  \\  {r}^{3}  =  \frac{63}{9}  \\  {r}^{3}  = 7 \: cm \\ r =  \sqrt[3]{7} \:  \: or \:  \: 1.91cm \\

Surface area of sphere:

 = 4\pi {r}^{2}

 = 4 \times \pi \times  { \sqrt[3]{7}  }^{2}  \\  = 4 \times  \frac{22}{7}  \times 3.64 \\  = 88  \times 0.52 \\  =  45.76\:  {cm}^{2}

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