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Shape Conversion of Solids

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Question

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

$\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) T h e n u m b e r o f c o i n s 1.75 c m i n & V o l u m e o f a c y l i n d e r o f b a s e d i a m e t e r a n d 2 m m t h i c k f r o m a & r a d i u s r a n d h e i g h t h i s g i v e n b y m e l t e d c u b o i d (10 c m \times 5.5 c m \times & V = (π r^{2} h) c u b i c u n i t s . 3.5 c m) i s 400. & A n d, v o l u m e o f a c u b o i d = (l \times b \times h) c u b i c u n i t s . \end{matrix}$

The correct answer is (a) / (b) / (c) / (d).

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Solution

Volume of cylinder = $\frac{22}{7}$ $\times$ $(\frac{17.5 m m}{2})^{2}$ $\times$ 2 mm
= $\frac{22}{7}$ $\times$ $\frac{17.5}{2}$ $\times$ $\frac{17.5}{2}$ $\times$ 2 mm
= 22 $\times$ 2.5 $\times$ $\frac{17.5}{2}$
Volume of cuboid = lbh = 100mm $\times$ 55mm $\times$ 35mm
No. of coins = $\frac{V o l u m e o f c u b o i d}{v o l u m e o f c y l i n d e r i c a l c o i n}$
No. of coins = $\frac{100 m m \times 55 m m \times 35 m m \times 100}{22 \times 25 \times \frac{175}{2} \times m m^{3}}$
No. of coins = 400

The given assertion is correct but the reason is not a correct explanation of assertion.

Hence, the correct option is (b).

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Similar questions

This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

$\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) If ABCD is a rhombus whose one & Median of a triangle divides it angle is 60^{\circ} then the ratio of the & into two triangles of equal area. lenghts of its diagonals is \sqrt{3} : 1. \end{matrix}$

The correct answer is :(a) /(b)/(c)/(d).

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

$\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) T h e c u r v e d s u r f a c e a r e a o f a & V o l u m e o f a c o n e = π r^{2} h . c o n e o f b a s e r a d i u s 3 c m a n d h e i g h t 4 c m i s (15 π) c m^{2} . \end{matrix}$

The correct answer is (a) / (b) / (c) / (d).

This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

$\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) The area of a trapezium whose & The area of an equailateral traingle parallel sides measure 25 cm and & of side 8 cm is 16 \sqrt{3} c m^{2} . 15 cm respectively and the distance between them is 6 cm,is 120 c m^{2} . \end{matrix}$

The correct answer is :(a)/(b)/(c)/(d).

This question consists of two statements,namely,Assertion (A) and Reason (R).For selecting the correct answer,use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

$\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) The diagonals of a | | g m d i v i d e i t & A diagonal of a | | g m d i v i d e s i t i n t o into four triangles of equal area. & two diagonals of equal area. \end{matrix}$

The correct answer is :(a) /(b) /(c) /(d)

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

$\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) I f t h e v o l u m e s o f t w o s p h e r e s a r e & V o l u m e o f a s p h e r e s = \frac{4}{3} π R^{3} . i n t h e r a t i o 27 : 8 t h e n t h e i r s u r f a c e a r e a s a r e i n t h e r a t i o 3 : 2 & S u r f a c e a r e a o f a s p h e r e = 4 π R^{2} . \end{matrix}$

The correct answer is (a) / (b) / (c) / (d).

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