1.

127 2/7 sqcm of sheet is required to make a hemispherical bowl. Let us write by calculating the length of diameter of the forepart of the bowl.ANSWER Fast .​

Answer»

\huge\red{\boxed{\sf AnSwer}}

GIVEN :-

  • 127 2/7 SQCM of sheet is required to make a hemisphere bowl

To Find :

what is the length of diameter of the forepart of the bowl.

Formula USED :-

{\pink{\boxed{\small{\bold{T.S.A\: of\: a\: hollow\: hemisphere =\: 2{\pi}{r}^{2}}}}}}

where,

T.S.A = Total Surface Area

Solution :-

Let the RADIUS be r cm

According to the QUESTION by using the formula we get,

\sf 2{\pi}{r}^{2} =\: 127\dfrac{2}{7}

\sf 2{\pi}{r}^{2} =\: \dfrac{889 + 2}{7}

\sf 2 \times \dfrac{22}{7} \times {r}^{2} =\: \dfrac{891}{7}

\sf {r}^{2} =\: \dfrac{891}{7} \times \dfrac{7}{2 \times 22}

\sf {r}^{2} =\: \dfrac{891}{\cancel{7}} \times \dfrac{\cancel{7}}{44}

\sf {r}^{2} =\: \dfrac{\cancel{891}}{\cancel{44}}

\sf {r}^{2} =\: \dfrac{81}{4}

\sf r =\: \sqrt{\dfrac{81}{4}}

\sf\pink{\pink{r =\: \dfrac{9}{2}\: cm}}

Now,

we have to find the diameter of the forepart of the bowl,

As we know that,

\boxed{\bold{\small{Diameter =\: 2r}}}

Given :

  • Radius (r) = 9/2

According to the question by using the formula we get

\sf Diameter =\: {\cancel{2}} \times \dfrac{9}{\cancel{2}}

\sf\bold{\red{Diameter =\: 9\: cm}}

{\underline{\boxed{\small{\bf{\therefore The\: length\: of\: diameter\: of\: the\: forepart\: of\: the\: bowl\: is\: 9\: cm\: .}}}}}



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