Match the object in Column A to the formulae in Column B- Choose the option with correct matches- array -1- Wline Alcolon - B Colonlllhlinelend array A- A 1 B 1- A 2 B 2- A 3 B 3B- A1B3- A2B1- A3B2C- A1B2- A2B1- A3B3D- A1B3- A2B2- A3B1

The correct option is D A1B3, A2B2, A3B1 Volume of cone = πr^2h/3 where r = radius, h = height Volume of cylinder = πr^2h where r = radius, h ...

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Byju's Answer

Standard X

Mathematics

Volume of a solid

Match the obj...

Question

Match the object in Column A to the formulae in Column B. Choose the option with correct matches.

$\begin{matrix} A : & B : 1. V o l u m e o f C o n e & 1. π r^{2} h 2. V o l u m e o f S p h e r e & 2. \frac{4}{3} π r^{3} 3. V o l u m e o f C y l i n d e r & 3. \frac{π r^{2} h}{3} \end{matrix}$

A1B3, A2B1, A3B2

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A1B2, A2B1, A3B3

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A1B3, A2B2, A3B1

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A1B1, A2B2, A3B3

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Solution

The correct option is C
A1B3, A2B2, A3B1

Volume of cone = $\frac{π r^{2} h}{3}$ where r = radius, h = height

Volume of cylinder = $π r^{2} h$ where r = radius, h = height

Volume of sphere = $\frac{4}{3} π r^{3}$ where r = radius

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Similar questions

Match the object in Column A to the formulae in Column B. Choose the option with correct matches.

" $\begin{matrix} A : & B : 1. V o l u m e o f C o n e & 1. π r^{2} h 2. V o l u m e o f S p h e r e & 2. \frac{4}{3} π r^{3} 3. V o l u m e o f C y l i n d e r & 3. \frac{π r^{2} h}{3} \end{matrix}$

Q. Assertion :

Δ = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} \frac{(1 + a_{1} b_{1}) (1 + a_{1}^{2} b_{1}^{2} - a_{1} b_{1})}{1 + a_{1} b_{1}} & \frac{(1 + a_{1} b_{2}) (1 + a_{1}^{2} b_{2}^{2} - a_{1} b_{2})}{1 + a_{1} b_{2}} & \frac{(1 + a_{1} b_{3}) (1 + a_{1}^{2} b_{3}^{2} - a_{1} b_{3})}{1 + a_{1} b_{3}} \frac{(1 + a_{2} b_{1}) (1 + a_{2}^{2} b_{1}^{2} - a_{2} b_{1})}{1 + a_{2} b_{1}} & \frac{(1 + a_{2} b_{2}) (1 + a_{2}^{2} b_{2}^{2} - a_{2} b_{2})}{1 + a_{2} b_{2}} & \frac{(1 + a_{2} b_{3}) (1 + a_{2}^{2} b_{3}^{2} - a_{2} b_{3})}{1 + a_{2} b_{3}} \frac{(1 + a_{3} b_{1}) (1 + a_{3}^{2} b_{1}^{2} - a_{3} b_{1})}{1 + a_{3} b_{1}} & \frac{(1 + a_{3} b_{2}) (1 + a_{2}^{2} b_{2}^{2} - a_{3} b_{2})}{1 + a_{3} b_{2}} & \frac{(1 + a_{3} b_{3}) (1 + a_{3}^{2} b_{3}^{2} - a_{3} b_{3})}{1 + a_{3} b_{3}} \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣

Δ = 0

Reason:

Δ

can be written as product of two determinants.

Q. The two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂ are perpendicular if
(a) a₁a₂ + b₁b₂ = 0
(b) a₁b₂ + a₂b₁
(c) a₁b₁ + a₂b₂ = 0
(d) a₁b₂ + a₂b₁ = 0

Match the following of column A with column B

$\begin{matrix} C o l o u m n A & C o l o u m n B 1. Parathyroid & a . fight or flight response 2. Growth hormone & b . A D H 3. A d r e n a l i n e & c . T e t a n y 4. H y p o t h a l a m u s & d.Pituitary gland \end{matrix}$

\end{array} "

Match the object in Column A to formulae in Column B. Choose the Option with correct matches.

$\begin{matrix} A & B 1. S u r f a c e a r e a o f c o n e & 1. 4 π r^{2} 2. S u r f a c e a r e a o f s p h e r e & 2. 2 π r h 3. c u r v e d s u r f a c e a r e a o f c y l i n d e r & 3. π r L \end{matrix}$

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Match the object in Column A to the formulae in Column B. Choose the option with correct matches. A:B:1. Volume of Cone1. πr2h2. Volume of Sphere2. 43πr33. Volume of Cylinder3. πr2h3

The correct option is C A1B3, A2B2, A3B1 Volume of cone = πr2h3 where r = radius, h = height Volume of cylinder = πr2h where r = radius, h = height Volume of sphere = 43πr3 where r = radius

Match the object in Column A to the formulae in Column B. Choose the option with correct matches.

$\begin{matrix} A : & B : 1. V o l u m e o f C o n e & 1. π r^{2} h 2. V o l u m e o f S p h e r e & 2. \frac{4}{3} π r^{3} 3. V o l u m e o f C y l i n d e r & 3. \frac{π r^{2} h}{3} \end{matrix}$

The correct option is C
A1B3, A2B2, A3B1

Volume of cone = $\frac{π r^{2} h}{3}$ where r = radius, h = height

Volume of cylinder = $π r^{2} h$ where r = radius, h = height

Volume of sphere = $\frac{4}{3} π r^{3}$ where r = radius