MEDIUM

10th CBSE

IMPORTANT

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A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being $3.5 cm$ and the total height of the solid is $9.5 cm$ . If the volume of the solid is $k {cm}^{3}$ , then find the value of $k$ upto two decimal places. (Take $π = \frac{22}{7}$ )

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Important Questions on Surface Areas and Volumes

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 22

A wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is

10 cm

and its base is of radius

3.5 cm

, If the volume of wood in the toy is

k {cm}^{3}

, then find the value of

k

upto two decimal places. (Use

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 23

The largest possible sphere is carved out of a wooden solid cube of side

7 cm

. If the volume of the wood left is

k {cm}^{3}

, then find the value of

k

upto two decimal places. (Use

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 24

The largest cone is carved out from one face of solid cube of side

21 cm

. If the volume of remaining solid is

k {cm}^{3}

, then find the value of

k

. ( Use

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 25

From a solid cylinder of height

2.8 cm

and diameter

4.2 cm

, a conical cavity of same height and same diameter is hollowed out. If the total surface area of the remaining solid is

k {cm}^{2}

, then find the value of

k

. ( Use

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 26

From a cuboidal solid metallic block of dimensions $15 cm \times 10 cm \times 5 cm$ , a cylindrical hole of diameter $7 cm$ is drilled out. If the surface area of the remaining block is $k {cm}^{2}$ , then find the value of $k$ . (Use $π = \frac{22}{7}$ )

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MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 27

From a solid cylinder of height

14 cm

and base diameter

7 cm

, two equal conical holes each of radius

2.1 cm

and height

4 cm

are cut off. If the volume of the remaining solid is

k {cm}^{2}

, then find the value of

k

. ( Take

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 28

A metallic cylinder has radius

3 cm

and height

5 cm

. To reduce its weight a conical hole is drilled in the cylinder. The conical hole has a radius of

\frac{3}{2} cm

and its depth is

\frac{8}{9} cm

. Calculate the ratio of the volume of metal left in the cylinder to the volume of metal taken out in conical shape. ( Use

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 29

A spherical glass vessel has a cylindrical neck

7 cm

long and

4 cm

in diameter. The diameter of the spherical part is

21 cm

. If the quantity of water it can hold is

k {cm}^{3}

, then find the value of

k

. (Take

π = \frac{22}{7}

)

A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. If the volume of the solid is k cm3, then find the value of k upto two decimal places. (Take π=227)

Important Questions on Surface Areas and Volumes

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A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being $3.5 cm$ and the total height of the solid is $9.5 cm$ . If the volume of the solid is $k {cm}^{3}$ , then find the value of $k$ upto two decimal places. (Take $π = \frac{22}{7}$ )