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Surface Areas and Volumes

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Surface Area of a Combination of Solids

Subtopic

Surface Area of a Combination of Solids under Surface Areas and Volumes for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A container is in the shape of a cylinder with a hemispherical base and a conical top. If all parts have radius rr, the height of the cylinder is hh, and the slant height of the cone is ll, the total surface area is:

    A.

    2πrh+2πr2+πrl2\pi rh + 2\pi r^2 + \pi rl

    B.

    2πrh+πr2+πrl2\pi rh + \pi r^2 + \pi rl

    C.

    πr(2h+2r+l)\pi r(2h + 2r + l)

    D.

    πr(h+r+l)\pi r(h + r + l)

  2. 2.

    If three cubes of side aa are stacked one on top of the other, the total surface area of the resulting tower is:

    A.

    14a214a^2

    B.

    18a218a^2

    C.

    12a212a^2

    D.

    15a215a^2

  3. 3.

    A solid is composed of a hemisphere of radius rr and a cylinder of the same radius and height rr. The total surface area is:

    A.

    5πr25\pi r^2

    B.

    4πr24\pi r^2

    C.

    6πr26\pi r^2

    D.

    3πr23\pi r^2

Download the worksheet for Surface Areas and Volumes - Surface Area of a Combination of Solids to practice offline. It includes additional chapter-level practice questions.

Volume of a Combination of Solids

Subtopic

Volume of a Combination of Solids under Surface Areas and Volumes for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A solid metallic sphere of radius 66 cm is melted and recast into a solid cone of radius 66 cm. Find the height of the cone.

    A.

    1212 cm

    B.

    1818 cm

    C.

    2424 cm

    D.

    3030 cm

  2. 2.

    A solid consists of a hemisphere of radius rr and a cylinder of radius rr. If the height of the cylinder is 2r2r, the total volume is:

    A.

    43πr3\frac{4}{3}\pi r^3

    B.

    2πr32\pi r^3

    C.

    83πr3\frac{8}{3}\pi r^3

    D.

    3πr33\pi r^3

  3. 3.

    Find the total volume of four identical solid cones, each with a radius of 33 cm and a height of 77 cm. (Use π=227\pi = \frac{22}{7})

    A.

    264264 cm3^3

    B.

    198198 cm3^3

    C.

    528528 cm3^3

    D.

    132132 cm3^3

Download the worksheet for Surface Areas and Volumes - Volume of a Combination of Solids to practice offline. It includes additional chapter-level practice questions.

Conversion of Solid from One Shape to Another

Subtopic

Conversion of Solid from One Shape to Another under Surface Areas and Volumes for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A solid metallic cylinder of radius 3 cm3 \text{ cm} and height 5 cm5 \text{ cm} is melted and recast into a wire (cylinder) of radius 1 cm1 \text{ cm}. Find the length of the wire.

    A.

    15 cm15 \text{ cm}

    B.

    30 cm30 \text{ cm}

    C.

    60 cm60 \text{ cm}

    D.

    45 cm45 \text{ cm}

  2. 2.

    A solid metallic sphere of radius 10 cm10 \text{ cm} is melted and recast into two identical solid hemispheres. What is the radius of each hemisphere?

    A.

    5 cm5 \text{ cm}

    B.

    10 cm10 \text{ cm}

    C.

    20 cm20 \text{ cm}

    D.

    15 cm15 \text{ cm}

  3. 3.

    A solid metallic cylinder of radius 5 cm5 \text{ cm} and height 10 cm10 \text{ cm} is melted and recast into a solid cone of radius 5 cm5 \text{ cm}. Find the height of the cone.

    A.

    30 cm30 \text{ cm}

    B.

    15 cm15 \text{ cm}

    C.

    20 cm20 \text{ cm}

    D.

    10 cm10 \text{ cm}

Download the worksheet for Surface Areas and Volumes - Conversion of Solid from One Shape to Another to practice offline. It includes additional chapter-level practice questions.

Surface Areas and Volumes - Class 10 Maths (CBSE) | Krit.club