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Volume of a Right Circular Cone

Each question...

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.

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

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

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Solution

The curved surface area of a cone of base radius 3 cm and height 4 cm is (15π) $c m^{2}$ .
so l= $\sqrt{3^{2} + 4^{2}}$ = 5

curved area = $π \times r \times l$ = $π \times 3 \times 5$
=15 $π$
volume of cube = $\frac{1}{3} π r^{2} h$
so option
(c) Assertion (A) is true and Reason (R) is false.

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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).

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.

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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