HARD

10th ICSE

IMPORTANT

Earn 100

Two right circular cones $X and Y$ are made, $X$ having three times the radius of $Y and Y$ having half the volume of $X$ . Find the ratio of heights of $X and Y$ .

Important Questions on Surface Area and Volume

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 10

A semi-circular thin sheet of metal of radius

7 cm

is bent and an open conical cup is made. If the capacity of the cup is

k {cm}^{3}

, then find the value of

k

in decimal.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 11

Find the length of canvas

2 m

in width is required to make a conical tent

20 m

in diameter and

42 m

in slant height allowing

10 %

for folds and the stitching. Also, find the cost of the canvas at the rate of

80 per metre

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 12

A conical military tent is

5 m

high and the diameter of the base is

24 m

. If the cost of canvas used in making this tent at the rate of

₹ 14

per

m^{2}

₹ k

, then the value of

k

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 13

A sector of a circle of radius

8 cm

has an angle of

90 °

. It is rolled up, so that the two bounding radii are joined together to form a cone. The radius of the cone is

k cm

. Find

k

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 13

A sector of a circle of radius

8 cm

has an angle of

90 °

. It is rolled up, so that the two bounding radii are joined together to form a cone. If the total surface area of the cone is

A π c m^{2}

. Find

A

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 13

A sector of a circle of radius

8 cm

has an angle of

90 °

. It is rolled up, so that the two bounding radii are joined together to form a cone. If the volume of the cone is

\frac{8 \sqrt{k}}{3}

then find the value of

k

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 14

A cloth having an area of

165 m^{2}

, is shaped into the form of a conical tent of radius

5 m

. How many students can sit in the tent, if a student
on an average occupies

\frac{5}{7} m^{2}

on the ground?

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 17 - Surface Area and Volume>Topic Exercise>Q 14

A cloth having an area of

165 m^{2}

, is shaped into the form of a conical tent of radius

5 m

. Find the volume of the cone. [Take

π = \frac{22}{7}

]

Two right circular cones X and Yare made, X having three times the radius of Y and Y having half the volume of X. Find the ratio of heights of X and Y.

Important Questions on Surface Area and Volume

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Two right circular cones $X and Y$ are made, $X$ having three times the radius of $Y and Y$ having half the volume of $X$ . Find the ratio of heights of $X and Y$ .