Class 10

Surface Areas and Volumes question bank (Maths)

Practice 309 free Class 10 Maths - Surface Areas and Volumes questions with answers and step-by-step solutions.

Q1.

$A$ wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in the figure. The height of the entire rocket is $26\, cm,$ while the height of the conical part is $6\, cm.$ The base of the conical portion has a diameter of $5\, cm,$ while the base diameter of the cylindrical portion is $3\, cm.$ If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (in $cm^2$) (Take $\pi=3.14$)

figure

(A)
$190.480$
(B)
$200.055$
(C)
$195.465$
(D)
$170.856$
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Q2.

Mayank made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end (see figure). The height of the cylinder is $1.45\, m$ and its radius is $30\, cm$. Find the total surface area of the bird-bath in $m^2$. (Take $\pi = \frac{22}{7}$)

figure

(A)
$2.1$
(B)
$4.9$
(C)
$8.8$
(D)
$3.3$
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