(B) To match the given parts,we identify the formulas for surface areas:$1$. The Curved Surface Area $(CSA)$ of a cylinder is $2\pi rh$. Thus,$1-b$.$2

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(B) To match the given parts,we identify the formulas for surface areas:$1$. The Curved Surface Area $(CSA)$ of a cylinder is $2\pi rh$. Thus,$1-b$.$2$. The Curved Surface Area $(CSA)$ of a sphere is $4\pi r^2$. Thus,$2-c$.$3$. The Curved Surface Area $(CSA)$ of a cone is $\pi rl$. Thus,$3-d$.$4$. The Total Surface Area $(TSA)$ of a hemisphere is $3\pi r^2$. Thus,$4-a$.Therefore,the correct matching is $(1-b), (2-c), (3-d), (4-a)$.

Class 10 Mathematics Surface Areas and Volumes Mix Examples - Surface Areas and Volumes

Medium

Which of the following correctly matches the information given in Part $I$ and Part $II$?

Part $I$ Part $II$

$1.$ $CSA$ of a cylinder $a.$ $3\pi r^2$

$2.$ $CSA$ of a sphere $b.$ $2\pi rh$

$3.$ $CSA$ of a cone $c.$ $4\pi r^2$

$4.$ $TSA$ of a hemisphere $d.$ $\pi rl$

Part $I$	Part $II$
$1.$ $CSA$ of a cylinder	$a.$ $3\pi r^2$
$2.$ $CSA$ of a sphere	$b.$ $2\pi rh$
$3.$ $CSA$ of a cone	$c.$ $4\pi r^2$
$4.$ $TSA$ of a hemisphere	$d.$ $\pi rl$

A
$(1-a), (2-b), (3-c), (4-d)$
B
$(1-b), (2-c), (3-d), (4-a)$
C
$(1-c), (2-d), (3-a), (4-b)$
D
$(1-d), (2-a), (3-b), (4-c)$

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Surface Areas and Volumes

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Mix Examples - Surface Areas and Volumes

$A$ metallic cylinder with radius $15\, cm$ and height $20\, cm$ is melted and recast to produce identical balls with radius $3\, cm$. Find the number of balls produced.

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Write 'True' or 'False' and justify your answer:
$A$ spherical steel ball is melted to make eight new identical balls. Then,the radius of each new ball is $\frac{1}{8}$th the radius of the original ball.

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Water flows through a cylindrical pipe,whose inner radius is $1 \,cm$,at the rate of $80 \,cm/sec$ into an empty cylindrical tank,the radius of whose base is $40 \,cm$. What is the rise of water level in the tank in half an hour? (in $cm$)

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Six wooden cubes of length $3 \, cm$ are arranged in a row touching each other face to face. Find the total surface area of the solid formed in this manner. (in $cm^2$)

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$TSA$ of a cone with radius $4\, cm$ and height $3\, cm$ is $\ldots \ldots \ldots \ldots cm^{2}$. (in $\pi$)

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Which of the following correctly matches the information given in Part $I$ and Part $II$? Part $I$ Part $II$ $1.$ $CSA$ of a cylinder $a.$ $3\pi r^2$ $2.$ $CSA$ of a sphere $b.$ $2\pi rh$ $3.$ $CSA$ of a cone $c.$ $4\pi r^2$ $4.$ $TSA$ of a hemisphere $d.$ $\pi rl$

Similar Questions

$A$ metallic cylinder with radius $15\, cm$ and height $20\, cm$ is melted and recast to produce identical balls with radius $3\, cm$. Find the number of balls produced.

Write 'True' or 'False' and justify your answer:$A$ spherical steel ball is melted to make eight new identical balls. Then,the radius of each new ball is $\frac{1}{8}$th the radius of the original ball.

Water flows through a cylindrical pipe,whose inner radius is $1 \,cm$,at the rate of $80 \,cm/sec$ into an empty cylindrical tank,the radius of whose base is $40 \,cm$. What is the rise of water level in the tank in half an hour? (in $cm$)

Six wooden cubes of length $3 \, cm$ are arranged in a row touching each other face to face. Find the total surface area of the solid formed in this manner. (in $cm^2$)

$TSA$ of a cone with radius $4\, cm$ and height $3\, cm$ is $\ldots \ldots \ldots \ldots cm^{2}$. (in $\pi$)

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Which of the following correctly matches the information given in Part $I$ and Part $II$?

Part $I$ Part $II$

$1.$ $CSA$ of a cylinder $a.$ $3\pi r^2$

$2.$ $CSA$ of a sphere $b.$ $2\pi rh$

$3.$ $CSA$ of a cone $c.$ $4\pi r^2$

$4.$ $TSA$ of a hemisphere $d.$ $\pi rl$

Write 'True' or 'False' and justify your answer:
$A$ spherical steel ball is melted to make eight new identical balls. Then,the radius of each new ball is $\frac{1}{8}$th the radius of the original ball.