MCQ
Assertion (A): In the given figure, a sphere circumscribes a right cylinder whose height is 8 cm and radius of the base is 3 cm. The ratio of the surface area of the sphere and the cylinder is 6: 11
Image
Reason (R): Ratio of their surface area $=\frac{\text { Sur face area of sphere }}{\text { Surface area of cylinder }}$
  • Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false.
  • D
    A is false but R is true.

Answer

Correct option: A.
Both A and R are true and R is the correct explanation of A
(A) Both A and R are true and R is the correct explanation of A.
Explanation:  Both A and R are true and R is the correct explanation of A.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If roots of the equation $x^2$ $b x+c=0$ are two consecutive integers, then $b^2-4 c=1$
Reason: If $a, b, c$ are odd integer then the roots of the equation $4 a b c\  x^2+\left(b^2-4 a c\right) x-b=0$ are real and distinct.
Statement $A$ (Assertion) : $A B C D$ is a rectangle such that $\angle C A B=60^{\circ}$ and $A C=a$ units. The area of rectangle $A B C D$ is $\frac{\sqrt{3}}{2} a^2$ sq. units.
Statement $R$ (Reason) : The value of $\sin 60^{\circ}$ is $\frac{\sqrt{3}}{2}$ and $\cos 60^2$ is $\frac{1}{2}$.
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If a pair of linear equations is consistent, then the lines are intersecting or coincident
Reason : Because the two lines definitely have a solution.
Statement-1 $(A)$ : The system of linear equations $9 x+3 y+12=0$ and $18 x+6 y+24=0$ have infinitely many solutions.
Statement-2 $(R)$ : The system of linear equations $a_1 x+b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ have infinitely many solutions, if $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$.
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If a no. apart from $0$ is multiplied to its own reciprocal then the result is $1$ is a multiplicative inverse.
Reason : $\frac{\text{a}\times1}{\text{a}}=1$ is multiplicative inverse.
Statement A (Assertion) : In the figure, $C_1$ and $C_2$ are two circles with radii $7 cm$ and $5 cm$ respectively, then area of shaded portion is $24 \pi cm ^2$.
Image
Statement R (Reason) : Area of the shaded region $=\pi\left(r_1^2+r_2^2\right)$ where $r_1$ and $r_2$ are the radii of outer and inner circle respectively.
Statement-1 (A): For any acute angle $\theta$, the value of $\sin \theta$ cannot be greater than 1.
Statement-2 (R): Hypotenuse is the longest side in any right angled triangle.
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : When a positive integer a is divided by $3,$ the values of remainder can be $0, 1$ or $2$
Reason : According to Euclid’s Division Lemma $a = bq + r,$ where $0 < r < 6$ and $r$ is an integer
Statement-1 (A): In Fig.9.16, the trigonometric ratios of angle $\theta$ depend only on the value of $\theta$ and are independent of the position of the point $P$ on the terminal side $A Y$ of angle $\theta$.
Image
Statement-2 (R) : In a right triangle $A B C$ right angled at $B$, if $\angle B A C=\theta$, then $\sin \theta=\frac{B C}{A C} < 1$ and $\cos \theta=\frac{A B}{A C} < 1$ because the hypotenuse $A C_{\text {is }}$ the longest side.
Statement-1 (A): The system of linear equations $3 x+5 y-4=0$ and $15 x+25 y-25=0$ is inconsistent.
Statement-2 (R): The pair of linear equations $a_1 x+b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ represents parallel lines, if $\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$.